Greatest Common Factor of 7732/42, 1012/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7732/42, 1012/732

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 7732/42,1012/732

Given fractions are 7732/42,1012/732

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 7732,1012

Greatest Common Factor of Numerators i.e. GCF of 7732,1012 is 4 .

LCM of Denominators means LCM of 42,732 as per the given fractions.

LCM of 42,732 is 5124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7732,1012

GCF of Fractions 7732/42,1012/732 is 4/5124

2 7732, 1012
2 3866, 506
1933, 253

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7732,1012 By Matching Biggest Common Factor Method

Greatest Common Factor of 7732,1012 By Matching Biggest Common Factor Method

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1,2,4,1933,3866,7732

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1,2,4,11,22,23,44,46,92,253,506,1012

Greatest Common Factor

We found the factors 7732,1012 . The biggest common factor number is the GCF number.
So the greatest common factor 7732,1012 is 4.

Lets's calculate LCM of 42,732

2 42, 732
3 21, 366
7, 122

∴ So the LCM of the given numbers is 2 x 3 x 7 x 122 = 5124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5124

Therefore, the GCF of Fractions 7732/42,1012/732 is 4/5124

Least Common Multiple of 42,732 with GCF Formula

Least Common Multiple of 42,732 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 42,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,732) = 6

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

GCF(42,732) x common factors =6 x 1 = 6

LCM(42,732) = ( 42 × 732 ) / 6

LCM(42,732) = 30744 / 6

LCM(42,732) = 5124


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 7732/42, 1012/732

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 7732/42, 1012/732?

Answer: GCF of Numerators as per given numbers 7732/42, 1012/732 is

GCF of Numerators i.e. for 7732,1012 is 4

LCM of denominators i.e. for 42,732 is 5124.

Thus, GCF of Fractions is 4/5124.Finally, GCF of Fractions for 7732/42, 1012/732 is 4/5124.