Greatest Common Factor of 8440/20, 8142/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8440/20, 8142/787

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 8440/20,8142/787

Given fractions are 8440/20,8142/787

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 8440,8142

Greatest Common Factor of Numerators i.e. GCF of 8440,8142 is 2 .

LCM of Denominators means LCM of 20,787 as per the given fractions.

LCM of 20,787 is 15740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8440,8142

GCF of Fractions 8440/20,8142/787 is 2/15740

2 8440, 8142
4220, 4071

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

Greatest Common Factor of 8440,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 8440,8142 By Matching Biggest Common Factor Method

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

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 8440,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 8440,8142 is 2.

Lets's calculate LCM of 20,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 15740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15740

Therefore, the GCF of Fractions 8440/20,8142/787 is 2/15740

Least Common Multiple of 20,787 with GCF Formula

Least Common Multiple of 20,787 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 20,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,787) = 1

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

GCF(20,787) x common factors =1 x 1 = 1

LCM(20,787) = ( 20 × 787 ) / 1

LCM(20,787) = 15740 / 1

LCM(20,787) = 15740


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 8440/20, 8142/787

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 8440/20, 8142/787?

Answer: GCF of Numerators as per given numbers 8440/20, 8142/787 is

GCF of Numerators i.e. for 8440,8142 is 2

LCM of denominators i.e. for 20,787 is 15740.

Thus, GCF of Fractions is 2/15740.Finally, GCF of Fractions for 8440/20, 8142/787 is 2/15740.