Greatest Common Factor of 8372/84, 8830/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8372/84, 8830/971

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 8372/84,8830/971

Given fractions are 8372/84,8830/971

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 8372,8830

Greatest Common Factor of Numerators i.e. GCF of 8372,8830 is 2 .

LCM of Denominators means LCM of 84,971 as per the given fractions.

LCM of 84,971 is 81564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8372,8830

GCF of Fractions 8372/84,8830/971 is 2/81564

2 8372, 8830
4186, 4415

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

Greatest Common Factor of 8372,8830 By Matching Biggest Common Factor Method

Greatest Common Factor of 8372,8830 By Matching Biggest Common Factor Method

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372

Factors of 8830

List of positive integer factors of 8830 that divides 8830 without a remainder.

1,2,5,10,883,1766,4415,8830

Greatest Common Factor

We found the factors 8372,8830 . The biggest common factor number is the GCF number.
So the greatest common factor 8372,8830 is 2.

Lets's calculate LCM of 84,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 81564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81564

Therefore, the GCF of Fractions 8372/84,8830/971 is 2/81564

Least Common Multiple of 84,971 with GCF Formula

Least Common Multiple of 84,971 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 84,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,971) = 1

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

GCF(84,971) x common factors =1 x 1 = 1

LCM(84,971) = ( 84 × 971 ) / 1

LCM(84,971) = 81564 / 1

LCM(84,971) = 81564


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 8372/84, 8830/971

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 8372/84, 8830/971?

Answer: GCF of Numerators as per given numbers 8372/84, 8830/971 is

GCF of Numerators i.e. for 8372,8830 is 2

LCM of denominators i.e. for 84,971 is 81564.

Thus, GCF of Fractions is 2/81564.Finally, GCF of Fractions for 8372/84, 8830/971 is 2/81564.