Greatest Common Factor of 85/295, 885/442, 920/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/295, 885/442, 920/457

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 85/295,885/442,920/457

Given fractions are 85/295,885/442,920/457

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 85,885,920

Greatest Common Factor of Numerators i.e. GCF of 85,885,920 is 5 .

LCM of Denominators means LCM of 295,442,457 as per the given fractions.

LCM of 295,442,457 is 59588230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,885,920

GCF of Fractions 85/295,885/442,920/457 is 5/59588230

5 85, 885, 920
17, 177, 184

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

Greatest Common Factor of 85,885,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,885,920 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 85,885,920 . The biggest common factor number is the GCF number.
So the greatest common factor 85,885,920 is 5.

Lets's calculate LCM of 295,442,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 59588230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59588230

Therefore, the GCF of Fractions 85/295,885/442,920/457 is 5/59588230

Least Common Multiple of 295,442,457 with GCF Formula

Least Common Multiple of 295,442,457 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 295,442,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,442,457) = 1

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

GCF(295,442,457) x common factors =1 x 1 = 1

LCM(295,442,457) = ( 295 × 442 × 457 ) / 1

LCM(295,442,457) = 59588230 / 1

LCM(295,442,457) = 59588230


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 85/295, 885/442, 920/457

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 85/295, 885/442, 920/457?

Answer: GCF of Numerators as per given numbers 85/295, 885/442, 920/457 is

GCF of Numerators i.e. for 85,885,920 is 5

LCM of denominators i.e. for 295,442,457 is 59588230.

Thus, GCF of Fractions is 5/59588230.Finally, GCF of Fractions for 85/295, 885/442, 920/457 is 5/59588230.