Greatest Common Factor of 7944/726, 7532/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7944/726, 7532/768

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 7944/726,7532/768

Given fractions are 7944/726,7532/768

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 7944,7532

Greatest Common Factor of Numerators i.e. GCF of 7944,7532 is 4 .

LCM of Denominators means LCM of 726,768 as per the given fractions.

LCM of 726,768 is 92928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7944,7532

GCF of Fractions 7944/726,7532/768 is 4/92928

2 7944, 7532
2 3972, 3766
1986, 1883

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

Greatest Common Factor of 7944,7532 By Matching Biggest Common Factor Method

Greatest Common Factor of 7944,7532 By Matching Biggest Common Factor Method

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors 7944,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 7944,7532 is 4.

Lets's calculate LCM of 726,768

2 726, 768
3 363, 384
121, 128

∴ So the LCM of the given numbers is 2 x 3 x 121 x 128 = 92928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92928

Therefore, the GCF of Fractions 7944/726,7532/768 is 4/92928

Least Common Multiple of 726,768 with GCF Formula

Least Common Multiple of 726,768 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 726,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,768) = 6

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

GCF(726,768) x common factors =6 x 1 = 6

LCM(726,768) = ( 726 × 768 ) / 6

LCM(726,768) = 557568 / 6

LCM(726,768) = 92928


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 7944/726, 7532/768

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 7944/726, 7532/768?

Answer: GCF of Numerators as per given numbers 7944/726, 7532/768 is

GCF of Numerators i.e. for 7944,7532 is 4

LCM of denominators i.e. for 726,768 is 92928.

Thus, GCF of Fractions is 4/92928.Finally, GCF of Fractions for 7944/726, 7532/768 is 4/92928.