Gcf Of 38 And 95

GCF of 38 and 95

GCF of 38 and 95 is the largest possible number that divides 38 and 95 exactly without whatsoever remainder. The factors of 38 and 95 are 1, 2, 19, 38 and 1, five, 19, 95 respectively. There are 3 commonly used methods to notice the GCF of 38 and 95 - Euclidean algorithm, long partition, and prime factorization.

1.	GCF of 38 and 95
ii.	Listing of Methods
3.	Solved Examples
four.	FAQs

What is GCF of 38 and 95?

Answer: GCF of 38 and 95 is 19.

Explanation:

The GCF of 2 not-zero integers, x(38) and y(95), is the greatest positive integer m(xix) that divides both x(38) and y(95) without whatever remainder.

Methods to Notice GCF of 38 and 95

The methods to detect the GCF of 38 and 95 are explained beneath.

• Prime number Factorization Method
• Long Division Method
• Listing Mutual Factors

GCF of 38 and 95 by Prime Factorization

Prime number factorization of 38 and 95 is (2 × 19) and (5 × xix) respectively. As visible, 38 and 95 have simply one common prime number cistron i.e. xix. Hence, the GCF of 38 and 95 is xix.

GCF of 38 and 95 past Long Sectionalisation

GCF of 38 and 95 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

• Step 1: Dissever 95 (larger number) by 38 (smaller number).
• Footstep 2: Since the remainder ≠ 0, we volition divide the divisor of footstep 1 (38) by the residual (19).
• Step iii: Echo this process until the remainder = 0.

The respective divisor (nineteen) is the GCF of 38 and 95.

GCF of 38 and 95 by Listing Mutual Factors

• Factors of 38: one, 2, 19, 38
• Factors of 95: ane, 5, 19, 95

There are 2 common factors of 38 and 95, that are one and xix. Therefore, the greatest common gene of 38 and 95 is 19.

☛ Also Check:

• GCF of 60 and 100 = xx
• GCF of 21 and 24 = 3
• GCF of 56 and 64 = 8
• GCF of 50 and 75 = 25
• GCF of 42, 28 and 70 = 14
• GCF of 55 and 75 = 5
• GCF of 28 and 42 = fourteen

GCF of 38 and 95 Examples

1. Example 1: For two numbers, GCF = nineteen and LCM = 190. If one number is 95, find the other number.

   Solution:

   Given: GCF (y, 95) = 19 and LCM (y, 95) = 190
   ∵ GCF × LCM = 95 × (y)
   ⇒ y = (GCF × LCM)/95
   ⇒ y = (xix × 190)/95
   ⇒ y = 38
   Therefore, the other number is 38.

2. Case 2: The product of two numbers is 3610. If their GCF is nineteen, what is their LCM?

   Solution:

   Given: GCF = 19 and product of numbers = 3610
   ∵ LCM × GCF = product of numbers
   ⇒ LCM = Product/GCF = 3610/19
   Therefore, the LCM is 190.

3. Instance 3: Detect the greatest number that divides 38 and 95 exactly.

   Solution:

   The greatest number that divides 38 and 95 exactly is their greatest common gene, i.e. GCF of 38 and 95.
   ⇒ Factors of 38 and 95:

   • Factors of 38 = ane, 2, 19, 38
   • Factors of 95 = one, five, 19, 95

   Therefore, the GCF of 38 and 95 is 19.

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FAQs on GCF of 38 and 95

What is the GCF of 38 and 95?

The GCF of 38 and 95 is 19 . To summate the greatest common cistron of 38 and 95, we need to factor each number (factors of 38 = ane, 2, 19, 38; factors of 95 = 1, 5, 19, 95) and choose the greatest gene that exactly divides both 38 and 95, i.e., nineteen.

What are the Methods to Observe GCF of 38 and 95?

At that place are three commonly used methods to find the GCF of 38 and 95.

• By Euclidean Algorithm
• By Prime Factorization
• Past Long Division

If the GCF of 95 and 38 is xix, Detect its LCM.

GCF(95, 38) × LCM(95, 38) = 95 × 38
Since the GCF of 95 and 38 = 19
⇒ 19 × LCM(95, 38) = 3610
Therefore, LCM = 190
☛ GCF Calculator

How to Find the GCF of 38 and 95 by Long Division Method?

To find the GCF of 38, 95 using long partitioning method, 95 is divided by 38. The corresponding divisor (19) when residual equals 0 is taken equally GCF.

How to Find the GCF of 38 and 95 by Prime Factorization?

To discover the GCF of 38 and 95, we will find the prime factorization of the given numbers, i.e. 38 = 2 × 19; 95 = 5 × nineteen.
⇒ Since 19 is the just mutual prime factor of 38 and 95. Hence, GCF (38, 95) = 19.
☛ Prime Number

What is the Relation Betwixt LCM and GCF of 38, 95?

The following equation can be used to limited the relation betwixt LCM and GCF of 38 and 95, i.e. GCF × LCM = 38 × 95.

Gcf Of 38 And 95,

Source: https://www.cuemath.com/numbers/gcf-of-38-and-95/

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