Greatest Common Factor of 869/82, 159/5460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/82, 159/5460

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 869/82,159/5460

Given fractions are 869/82,159/5460

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 869,159

Greatest Common Factor of Numerators i.e. GCF of 869,159 is 1 .

LCM of Denominators means LCM of 82,5460 as per the given fractions.

LCM of 82,5460 is 223860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,159

GCF of Fractions 869/82,159/5460 is 1/223860

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

Greatest Common Factor of 869,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,159 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 869,159 . The biggest common factor number is the GCF number.
So the greatest common factor 869,159 is 1.

Lets's calculate LCM of 82,5460

2 82, 5460
41, 2730

∴ So the LCM of the given numbers is 2 x 41 x 2730 = 223860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223860

Therefore, the GCF of Fractions 869/82,159/5460 is 1/223860

Least Common Multiple of 82,5460 with GCF Formula

Least Common Multiple of 82,5460 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 82,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,5460) = 2

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

GCF(82,5460) x common factors =2 x 1 = 2

LCM(82,5460) = ( 82 × 5460 ) / 2

LCM(82,5460) = 447720 / 2

LCM(82,5460) = 223860


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 869/82, 159/5460

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 869/82, 159/5460?

Answer: GCF of Numerators as per given numbers 869/82, 159/5460 is

GCF of Numerators i.e. for 869,159 is 1

LCM of denominators i.e. for 82,5460 is 223860.

Thus, GCF of Fractions is 1/223860.Finally, GCF of Fractions for 869/82, 159/5460 is 1/223860.