Greatest Common Factor of 7428/566, 7721/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7428/566, 7721/964

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 7428/566,7721/964

Given fractions are 7428/566,7721/964

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 7428,7721

Greatest Common Factor of Numerators i.e. GCF of 7428,7721 is 1 .

LCM of Denominators means LCM of 566,964 as per the given fractions.

LCM of 566,964 is 272812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7428,7721

GCF of Fractions 7428/566,7721/964 is 1/272812

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7428,7721 By Matching Biggest Common Factor Method

Greatest Common Factor of 7428,7721 By Matching Biggest Common Factor Method

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Factors of 7721

List of positive integer factors of 7721 that divides 7721 without a remainder.

1,7,1103,7721

Greatest Common Factor

We found the factors 7428,7721 . The biggest common factor number is the GCF number.
So the greatest common factor 7428,7721 is 1.

Lets's calculate LCM of 566,964

2 566, 964
283, 482

∴ So the LCM of the given numbers is 2 x 283 x 482 = 272812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272812

Therefore, the GCF of Fractions 7428/566,7721/964 is 1/272812

Least Common Multiple of 566,964 with GCF Formula

Least Common Multiple of 566,964 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 566,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,964) = 2

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

GCF(566,964) x common factors =2 x 1 = 2

LCM(566,964) = ( 566 × 964 ) / 2

LCM(566,964) = 545624 / 2

LCM(566,964) = 272812


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 7428/566, 7721/964

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 7428/566, 7721/964?

Answer: GCF of Numerators as per given numbers 7428/566, 7721/964 is

GCF of Numerators i.e. for 7428,7721 is 1

LCM of denominators i.e. for 566,964 is 272812.

Thus, GCF of Fractions is 1/272812.Finally, GCF of Fractions for 7428/566, 7721/964 is 1/272812.