Greatest Common Factor of 7932/87, 6434/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7932/87, 6434/892

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7932/87,6434/892

Given fractions are 7932/87,6434/892

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7932,6434

Greatest Common Factor of Numerators i.e. GCF of 7932,6434 is 2 .

LCM of Denominators means LCM of 87,892 as per the given fractions.

LCM of 87,892 is 77604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7932,6434

GCF of Fractions 7932/87,6434/892 is 2/77604

2 7932, 6434
3966, 3217

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7932,6434 By Matching Biggest Common Factor Method

Greatest Common Factor of 7932,6434 By Matching Biggest Common Factor Method

Factors of 7932

List of positive integer factors of 7932 that divides 7932 without a remainder.

1,2,3,4,6,12,661,1322,1983,2644,3966,7932

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Greatest Common Factor

We found the factors 7932,6434 . The biggest common factor number is the GCF number.
So the greatest common factor 7932,6434 is 2.

Lets's calculate LCM of 87,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 77604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77604

Therefore, the GCF of Fractions 7932/87,6434/892 is 2/77604

Least Common Multiple of 87,892 with GCF Formula

Least Common Multiple of 87,892 with GCF Formula

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

We need to calculate greatest common factor of 87,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,892) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,892) x common factors =1 x 1 = 1

LCM(87,892) = ( 87 × 892 ) / 1

LCM(87,892) = 77604 / 1

LCM(87,892) = 77604


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7932/87, 6434/892

1. 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.

2. What is the GCF of Fractions for 7932/87, 6434/892?

Answer: GCF of Numerators as per given numbers 7932/87, 6434/892 is

GCF of Numerators i.e. for 7932,6434 is 2

LCM of denominators i.e. for 87,892 is 77604.

Thus, GCF of Fractions is 2/77604.Finally, GCF of Fractions for 7932/87, 6434/892 is 2/77604.