Greatest Common Factor of 7552/524, 8260/4541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7552/524, 8260/4541

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 7552/524,8260/4541

Given fractions are 7552/524,8260/4541

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 7552,8260

Greatest Common Factor of Numerators i.e. GCF of 7552,8260 is 236 .

LCM of Denominators means LCM of 524,4541 as per the given fractions.

LCM of 524,4541 is 2379484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7552,8260

GCF of Fractions 7552/524,8260/4541 is 236/2379484

2 7552, 8260
2 3776, 4130
59 1888, 2065
32, 35

∴ So the GCF of the given numbers is 2 x 2 x 59 = 236

Greatest Common Factor of 7552,8260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7552,8260 By Matching Biggest Common Factor Method

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

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Greatest Common Factor

We found the factors 7552,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 7552,8260 is 236.

Lets's calculate LCM of 524,4541

Given numbers has no common factors except 1. So, there LCM is their product i.e 2379484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/2379484

Therefore, the GCF of Fractions 7552/524,8260/4541 is 236/2379484

Least Common Multiple of 524,4541 with GCF Formula

Least Common Multiple of 524,4541 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 524,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,4541) = 1

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

GCF(524,4541) x common factors =1 x 1 = 1

LCM(524,4541) = ( 524 × 4541 ) / 1

LCM(524,4541) = 2379484 / 1

LCM(524,4541) = 2379484


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 7552/524, 8260/4541

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 7552/524, 8260/4541?

Answer: GCF of Numerators as per given numbers 7552/524, 8260/4541 is

GCF of Numerators i.e. for 7552,8260 is 236

LCM of denominators i.e. for 524,4541 is 2379484.

Thus, GCF of Fractions is 236/2379484.Finally, GCF of Fractions for 7552/524, 8260/4541 is 236/2379484.