Greatest Common Factor of 3951/84, 7165/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3951/84, 7165/860

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 3951/84,7165/860

Given fractions are 3951/84,7165/860

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 3951,7165

Greatest Common Factor of Numerators i.e. GCF of 3951,7165 is 1 .

LCM of Denominators means LCM of 84,860 as per the given fractions.

LCM of 84,860 is 18060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3951,7165

GCF of Fractions 3951/84,7165/860 is 1/18060

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

Greatest Common Factor of 3951,7165 By Matching Biggest Common Factor Method

Greatest Common Factor of 3951,7165 By Matching Biggest Common Factor Method

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1,3,9,439,1317,3951

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1,5,1433,7165

Greatest Common Factor

We found the factors 3951,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 3951,7165 is 1.

Lets's calculate LCM of 84,860

2 84, 860
2 42, 430
21, 215

∴ So the LCM of the given numbers is 2 x 2 x 21 x 215 = 18060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18060

Therefore, the GCF of Fractions 3951/84,7165/860 is 1/18060

Least Common Multiple of 84,860 with GCF Formula

Least Common Multiple of 84,860 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 84,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,860) = 4

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

GCF(84,860) x common factors =4 x 1 = 4

LCM(84,860) = ( 84 × 860 ) / 4

LCM(84,860) = 72240 / 4

LCM(84,860) = 18060


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 3951/84, 7165/860

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 3951/84, 7165/860?

Answer: GCF of Numerators as per given numbers 3951/84, 7165/860 is

GCF of Numerators i.e. for 3951,7165 is 1

LCM of denominators i.e. for 84,860 is 18060.

Thus, GCF of Fractions is 1/18060.Finally, GCF of Fractions for 3951/84, 7165/860 is 1/18060.