Greatest Common Factor of 7944/715, 5064/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7944/715, 5064/901

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 7944/715,5064/901

Given fractions are 7944/715,5064/901

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 7944,5064

Greatest Common Factor of Numerators i.e. GCF of 7944,5064 is 24 .

LCM of Denominators means LCM of 715,901 as per the given fractions.

LCM of 715,901 is 644215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7944,5064

GCF of Fractions 7944/715,5064/901 is 24/644215

2 7944, 5064
2 3972, 2532
2 1986, 1266
3 993, 633
331, 211

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 7944,5064 By Matching Biggest Common Factor Method

Greatest Common Factor of 7944,5064 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 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Greatest Common Factor

We found the factors 7944,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 7944,5064 is 24.

Lets's calculate LCM of 715,901

Given numbers has no common factors except 1. So, there LCM is their product i.e 644215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/644215

Therefore, the GCF of Fractions 7944/715,5064/901 is 24/644215

Least Common Multiple of 715,901 with GCF Formula

Least Common Multiple of 715,901 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 715,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,901) = 1

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

GCF(715,901) x common factors =1 x 1 = 1

LCM(715,901) = ( 715 × 901 ) / 1

LCM(715,901) = 644215 / 1

LCM(715,901) = 644215


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7944/715, 5064/901

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 7944/715, 5064/901?

Answer: GCF of Numerators as per given numbers 7944/715, 5064/901 is

GCF of Numerators i.e. for 7944,5064 is 24

LCM of denominators i.e. for 715,901 is 644215.

Thus, GCF of Fractions is 24/644215.Finally, GCF of Fractions for 7944/715, 5064/901 is 24/644215.