Greatest Common Factor of 7206/529, 5340/3707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7206/529, 5340/3707

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 7206/529,5340/3707

Given fractions are 7206/529,5340/3707

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 7206,5340

Greatest Common Factor of Numerators i.e. GCF of 7206,5340 is 6 .

LCM of Denominators means LCM of 529,3707 as per the given fractions.

LCM of 529,3707 is 1961003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7206,5340

GCF of Fractions 7206/529,5340/3707 is 6/1961003

2 7206, 5340
3 3603, 2670
1201, 890

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7206,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 7206,5340 By Matching Biggest Common Factor Method

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1,2,3,6,1201,2402,3603,7206

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 7206,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,5340 is 6.

Lets's calculate LCM of 529,3707

Given numbers has no common factors except 1. So, there LCM is their product i.e 1961003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1961003

Therefore, the GCF of Fractions 7206/529,5340/3707 is 6/1961003

Least Common Multiple of 529,3707 with GCF Formula

Least Common Multiple of 529,3707 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 529,3707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,3707) = 1

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

GCF(529,3707) x common factors =1 x 1 = 1

LCM(529,3707) = ( 529 × 3707 ) / 1

LCM(529,3707) = 1961003 / 1

LCM(529,3707) = 1961003


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 7206/529, 5340/3707

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 7206/529, 5340/3707?

Answer: GCF of Numerators as per given numbers 7206/529, 5340/3707 is

GCF of Numerators i.e. for 7206,5340 is 6

LCM of denominators i.e. for 529,3707 is 1961003.

Thus, GCF of Fractions is 6/1961003.Finally, GCF of Fractions for 7206/529, 5340/3707 is 6/1961003.