Greatest Common Factor of 485/142, 8920/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 485/142, 8920/557

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 485/142,8920/557

Given fractions are 485/142,8920/557

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 485,8920

Greatest Common Factor of Numerators i.e. GCF of 485,8920 is 5 .

LCM of Denominators means LCM of 142,557 as per the given fractions.

LCM of 142,557 is 79094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 485,8920

GCF of Fractions 485/142,8920/557 is 5/79094

5 485, 8920
97, 1784

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 485,8920 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,8920 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Greatest Common Factor

We found the factors 485,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 485,8920 is 5.

Lets's calculate LCM of 142,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 79094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/79094

Therefore, the GCF of Fractions 485/142,8920/557 is 5/79094

Least Common Multiple of 142,557 with GCF Formula

Least Common Multiple of 142,557 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 142,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,557) = 1

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

GCF(142,557) x common factors =1 x 1 = 1

LCM(142,557) = ( 142 × 557 ) / 1

LCM(142,557) = 79094 / 1

LCM(142,557) = 79094


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 485/142, 8920/557

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 485/142, 8920/557?

Answer: GCF of Numerators as per given numbers 485/142, 8920/557 is

GCF of Numerators i.e. for 485,8920 is 5

LCM of denominators i.e. for 142,557 is 79094.

Thus, GCF of Fractions is 5/79094.Finally, GCF of Fractions for 485/142, 8920/557 is 5/79094.