How to Find GCF of 92/52, 25/25, 31/637?

GCF of 92/52, 25/25, 31/637

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 92/52, 25/25, 31/637 i.e 1/63700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/52, 25/25, 31/637.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 92/52,25/25,31/637?

Given fractions are 92/52,25/25,31/637

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 92/52,25/25,31/637, numerators are 92,25,31

Denominators are 52,25,637

The GCF of 92,25,31 is 1 .

LCM of 52,25,637 is 63700.

The greatest common factor of 92/52,25/25,31/637 = [GCF of 92,25,31]/[LCM of 52,25,637]= 1/63700

Therefore, the GCF of 92/52,25/25,31/637 is 1/63700.

Greatest Common Factor of 92,25,31

To find the highest common factor of 92,25,31, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 25 are 1, 5, 25

The factors of 31 are 1, 31

The HCF of 92,25,31 is 1.

Lets's calculate GCF of 92,25,31

Greatest Common Factor (GCF) of 92,25,31 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 92,25,31 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 25

1,5,25

Now, list down the factors of 31

1,31

Greatest Common Factor

We found the factors 92,25,31 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,31 is 1.

Lets's calculate LCM of 52,25,637

Lowest Common Multiple of 52,25,637 using Common Division

13	52, 25, 637
	4, 25, 49

∴ So the LCM of the given numbers is 13 x 4 x 25 x 49 = 63700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63700

Therefore, the GCF of Fractions 92/52,25/25,31/637 is 1/63700

Least Common Multiple of 52,25,637 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 52,25,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,25,637) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(52,25,637) x common factors =1 x 13 = 13

LCM(52,25,637) = ( 52 × 25 × 637 ) / 13

LCM(52,25,637) = 828100 / 13

LCM(52,25,637) = 63700

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FAQs on GCF of Fractions of 92/52, 25/25, 31/637

1. What is the HCF of 92,25,31?

The HCF of 92,25,31 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 92/52, 25/25, 31/637?

Answer: GCF of Numerators as per given numbers 92/52, 25/25, 31/637 is

GCF of Numerators i.e. for 92,25,31 is 1

LCM of denominators i.e. for 52,25,637 is 63700.

Thus, GCF of Fractions is 1/63700.Finally, GCF of Fractions for 92/52, 25/25, 31/637 is 1/63700.