Greatest Common Factor of 7564/55, 7028/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7564/55, 7028/749

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 7564/55,7028/749

Given fractions are 7564/55,7028/749

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 7564,7028

Greatest Common Factor of Numerators i.e. GCF of 7564,7028 is 4 .

LCM of Denominators means LCM of 55,749 as per the given fractions.

LCM of 55,749 is 41195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7564,7028

GCF of Fractions 7564/55,7028/749 is 4/41195

2 7564, 7028
2 3782, 3514
1891, 1757

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

Greatest Common Factor of 7564,7028 By Matching Biggest Common Factor Method

Greatest Common Factor of 7564,7028 By Matching Biggest Common Factor Method

Factors of 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1,2,4,31,61,62,122,124,244,1891,3782,7564

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Greatest Common Factor

We found the factors 7564,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,7028 is 4.

Lets's calculate LCM of 55,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 41195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/41195

Therefore, the GCF of Fractions 7564/55,7028/749 is 4/41195

Least Common Multiple of 55,749 with GCF Formula

Least Common Multiple of 55,749 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 55,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,749) = 1

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

GCF(55,749) x common factors =1 x 1 = 1

LCM(55,749) = ( 55 × 749 ) / 1

LCM(55,749) = 41195 / 1

LCM(55,749) = 41195


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 7564/55, 7028/749

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 7564/55, 7028/749?

Answer: GCF of Numerators as per given numbers 7564/55, 7028/749 is

GCF of Numerators i.e. for 7564,7028 is 4

LCM of denominators i.e. for 55,749 is 41195.

Thus, GCF of Fractions is 4/41195.Finally, GCF of Fractions for 7564/55, 7028/749 is 4/41195.