Greatest Common Factor of 6524/730, 3956/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6524/730, 3956/840

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 6524/730,3956/840

Given fractions are 6524/730,3956/840

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 6524,3956

Greatest Common Factor of Numerators i.e. GCF of 6524,3956 is 4 .

LCM of Denominators means LCM of 730,840 as per the given fractions.

LCM of 730,840 is 61320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6524,3956

GCF of Fractions 6524/730,3956/840 is 4/61320

2 6524, 3956
2 3262, 1978
1631, 989

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

Greatest Common Factor of 6524,3956 By Matching Biggest Common Factor Method

Greatest Common Factor of 6524,3956 By Matching Biggest Common Factor Method

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1,2,4,7,14,28,233,466,932,1631,3262,6524

Factors of 3956

List of positive integer factors of 3956 that divides 3956 without a remainder.

1,2,4,23,43,46,86,92,172,989,1978,3956

Greatest Common Factor

We found the factors 6524,3956 . The biggest common factor number is the GCF number.
So the greatest common factor 6524,3956 is 4.

Lets's calculate LCM of 730,840

2 730, 840
5 365, 420
73, 84

∴ So the LCM of the given numbers is 2 x 5 x 73 x 84 = 61320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61320

Therefore, the GCF of Fractions 6524/730,3956/840 is 4/61320

Least Common Multiple of 730,840 with GCF Formula

Least Common Multiple of 730,840 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 730,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,840) = 10

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

GCF(730,840) x common factors =10 x 1 = 10

LCM(730,840) = ( 730 × 840 ) / 10

LCM(730,840) = 613200 / 10

LCM(730,840) = 61320


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 6524/730, 3956/840

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 6524/730, 3956/840?

Answer: GCF of Numerators as per given numbers 6524/730, 3956/840 is

GCF of Numerators i.e. for 6524,3956 is 4

LCM of denominators i.e. for 730,840 is 61320.

Thus, GCF of Fractions is 4/61320.Finally, GCF of Fractions for 6524/730, 3956/840 is 4/61320.