Greatest Common Factor of 7471/522, 3540/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7471/522, 3540/762

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 7471/522,3540/762

Given fractions are 7471/522,3540/762

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 7471,3540

Greatest Common Factor of Numerators i.e. GCF of 7471,3540 is 1 .

LCM of Denominators means LCM of 522,762 as per the given fractions.

LCM of 522,762 is 66294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7471,3540

GCF of Fractions 7471/522,3540/762 is 1/66294

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

Greatest Common Factor of 7471,3540 By Matching Biggest Common Factor Method

Greatest Common Factor of 7471,3540 By Matching Biggest Common Factor Method

Factors of 7471

List of positive integer factors of 7471 that divides 7471 without a remainder.

1,31,241,7471

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors 7471,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 7471,3540 is 1.

Lets's calculate LCM of 522,762

2 522, 762
3 261, 381
87, 127

∴ So the LCM of the given numbers is 2 x 3 x 87 x 127 = 66294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66294

Therefore, the GCF of Fractions 7471/522,3540/762 is 1/66294

Least Common Multiple of 522,762 with GCF Formula

Least Common Multiple of 522,762 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 522,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,762) = 6

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

GCF(522,762) x common factors =6 x 1 = 6

LCM(522,762) = ( 522 × 762 ) / 6

LCM(522,762) = 397764 / 6

LCM(522,762) = 66294


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 7471/522, 3540/762

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 7471/522, 3540/762?

Answer: GCF of Numerators as per given numbers 7471/522, 3540/762 is

GCF of Numerators i.e. for 7471,3540 is 1

LCM of denominators i.e. for 522,762 is 66294.

Thus, GCF of Fractions is 1/66294.Finally, GCF of Fractions for 7471/522, 3540/762 is 1/66294.