Greatest Common Factor of 7215/413, 6266/4011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7215/413, 6266/4011

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 7215/413,6266/4011

Given fractions are 7215/413,6266/4011

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 7215,6266

Greatest Common Factor of Numerators i.e. GCF of 7215,6266 is 13 .

LCM of Denominators means LCM of 413,4011 as per the given fractions.

LCM of 413,4011 is 236649 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7215,6266

GCF of Fractions 7215/413,6266/4011 is 13/236649

13 7215, 6266
555, 482

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7215,6266 By Matching Biggest Common Factor Method

Greatest Common Factor of 7215,6266 By Matching Biggest Common Factor Method

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Factors of 6266

List of positive integer factors of 6266 that divides 6266 without a remainder.

1,2,13,26,241,482,3133,6266

Greatest Common Factor

We found the factors 7215,6266 . The biggest common factor number is the GCF number.
So the greatest common factor 7215,6266 is 13.

Lets's calculate LCM of 413,4011

7 413, 4011
59, 573

∴ So the LCM of the given numbers is 7 x 59 x 573 = 236649

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/236649

Therefore, the GCF of Fractions 7215/413,6266/4011 is 13/236649

Least Common Multiple of 413,4011 with GCF Formula

Least Common Multiple of 413,4011 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 413,4011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,4011) = 7

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

GCF(413,4011) x common factors =7 x 1 = 7

LCM(413,4011) = ( 413 × 4011 ) / 7

LCM(413,4011) = 1656543 / 7

LCM(413,4011) = 236649


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 7215/413, 6266/4011

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 7215/413, 6266/4011?

Answer: GCF of Numerators as per given numbers 7215/413, 6266/4011 is

GCF of Numerators i.e. for 7215,6266 is 13

LCM of denominators i.e. for 413,4011 is 236649.

Thus, GCF of Fractions is 13/236649.Finally, GCF of Fractions for 7215/413, 6266/4011 is 13/236649.