Greatest Common Factor of 3948/749, 7707/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3948/749, 7707/932

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 3948/749,7707/932

Given fractions are 3948/749,7707/932

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 3948,7707

Greatest Common Factor of Numerators i.e. GCF of 3948,7707 is 21 .

LCM of Denominators means LCM of 749,932 as per the given fractions.

LCM of 749,932 is 698068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3948,7707

GCF of Fractions 3948/749,7707/932 is 21/698068

3 3948, 7707
7 1316, 2569
188, 367

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 3948,7707 By Matching Biggest Common Factor Method

Greatest Common Factor of 3948,7707 By Matching Biggest Common Factor Method

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

Greatest Common Factor

We found the factors 3948,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 3948,7707 is 21.

Lets's calculate LCM of 749,932

Given numbers has no common factors except 1. So, there LCM is their product i.e 698068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/698068

Therefore, the GCF of Fractions 3948/749,7707/932 is 21/698068

Least Common Multiple of 749,932 with GCF Formula

Least Common Multiple of 749,932 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 749,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,932) = 1

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

GCF(749,932) x common factors =1 x 1 = 1

LCM(749,932) = ( 749 × 932 ) / 1

LCM(749,932) = 698068 / 1

LCM(749,932) = 698068


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 3948/749, 7707/932

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 3948/749, 7707/932?

Answer: GCF of Numerators as per given numbers 3948/749, 7707/932 is

GCF of Numerators i.e. for 3948,7707 is 21

LCM of denominators i.e. for 749,932 is 698068.

Thus, GCF of Fractions is 21/698068.Finally, GCF of Fractions for 3948/749, 7707/932 is 21/698068.