Greatest Common Factor of 8650/851, 8142/7998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8650/851, 8142/7998

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 8650/851,8142/7998

Given fractions are 8650/851,8142/7998

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 8650,8142

Greatest Common Factor of Numerators i.e. GCF of 8650,8142 is 2 .

LCM of Denominators means LCM of 851,7998 as per the given fractions.

LCM of 851,7998 is 6806298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8650,8142

GCF of Fractions 8650/851,8142/7998 is 2/6806298

2 8650, 8142
4325, 4071

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

Greatest Common Factor of 8650,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 8650,8142 By Matching Biggest Common Factor Method

Factors of 8650

List of positive integer factors of 8650 that divides 8650 without a remainder.

1,2,5,10,25,50,173,346,865,1730,4325,8650

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 8650,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 8650,8142 is 2.

Lets's calculate LCM of 851,7998

Given numbers has no common factors except 1. So, there LCM is their product i.e 6806298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6806298

Therefore, the GCF of Fractions 8650/851,8142/7998 is 2/6806298

Least Common Multiple of 851,7998 with GCF Formula

Least Common Multiple of 851,7998 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 851,7998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,7998) = 1

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

GCF(851,7998) x common factors =1 x 1 = 1

LCM(851,7998) = ( 851 × 7998 ) / 1

LCM(851,7998) = 6806298 / 1

LCM(851,7998) = 6806298


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 8650/851, 8142/7998

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 8650/851, 8142/7998?

Answer: GCF of Numerators as per given numbers 8650/851, 8142/7998 is

GCF of Numerators i.e. for 8650,8142 is 2

LCM of denominators i.e. for 851,7998 is 6806298.

Thus, GCF of Fractions is 2/6806298.Finally, GCF of Fractions for 8650/851, 8142/7998 is 2/6806298.