Greatest Common Factor of 5788/540, 7552/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5788/540, 7552/929

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 5788/540,7552/929

Given fractions are 5788/540,7552/929

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 5788,7552

Greatest Common Factor of Numerators i.e. GCF of 5788,7552 is 4 .

LCM of Denominators means LCM of 540,929 as per the given fractions.

LCM of 540,929 is 501660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5788,7552

GCF of Fractions 5788/540,7552/929 is 4/501660

2 5788, 7552
2 2894, 3776
1447, 1888

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

Greatest Common Factor of 5788,7552 By Matching Biggest Common Factor Method

Greatest Common Factor of 5788,7552 By Matching Biggest Common Factor Method

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Factors of 7552

List of positive integer factors of 7552 that divides 7552 without a remainder.

1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552

Greatest Common Factor

We found the factors 5788,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,7552 is 4.

Lets's calculate LCM of 540,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 501660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/501660

Therefore, the GCF of Fractions 5788/540,7552/929 is 4/501660

Least Common Multiple of 540,929 with GCF Formula

Least Common Multiple of 540,929 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 540,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,929) = 1

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

GCF(540,929) x common factors =1 x 1 = 1

LCM(540,929) = ( 540 × 929 ) / 1

LCM(540,929) = 501660 / 1

LCM(540,929) = 501660


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 5788/540, 7552/929

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 5788/540, 7552/929?

Answer: GCF of Numerators as per given numbers 5788/540, 7552/929 is

GCF of Numerators i.e. for 5788,7552 is 4

LCM of denominators i.e. for 540,929 is 501660.

Thus, GCF of Fractions is 4/501660.Finally, GCF of Fractions for 5788/540, 7552/929 is 4/501660.