Greatest Common Factor of 8571/15, 7611/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8571/15, 7611/407

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 8571/15,7611/407

Given fractions are 8571/15,7611/407

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 8571,7611

Greatest Common Factor of Numerators i.e. GCF of 8571,7611 is 3 .

LCM of Denominators means LCM of 15,407 as per the given fractions.

LCM of 15,407 is 6105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8571,7611

GCF of Fractions 8571/15,7611/407 is 3/6105

3 8571, 7611
2857, 2537

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8571,7611 By Matching Biggest Common Factor Method

Greatest Common Factor of 8571,7611 By Matching Biggest Common Factor Method

Factors of 8571

List of positive integer factors of 8571 that divides 8571 without a remainder.

1,3,2857,8571

Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1,3,43,59,129,177,2537,7611

Greatest Common Factor

We found the factors 8571,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 8571,7611 is 3.

Lets's calculate LCM of 15,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 6105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6105

Therefore, the GCF of Fractions 8571/15,7611/407 is 3/6105

Least Common Multiple of 15,407 with GCF Formula

Least Common Multiple of 15,407 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 15,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,407) = 1

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

GCF(15,407) x common factors =1 x 1 = 1

LCM(15,407) = ( 15 × 407 ) / 1

LCM(15,407) = 6105 / 1

LCM(15,407) = 6105


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 8571/15, 7611/407

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 8571/15, 7611/407?

Answer: GCF of Numerators as per given numbers 8571/15, 7611/407 is

GCF of Numerators i.e. for 8571,7611 is 3

LCM of denominators i.e. for 15,407 is 6105.

Thus, GCF of Fractions is 3/6105.Finally, GCF of Fractions for 8571/15, 7611/407 is 3/6105.