Greatest Common Factor of 85/61, 31/239, 202/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/61, 31/239, 202/884

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 85/61,31/239,202/884

Given fractions are 85/61,31/239,202/884

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 85,31,202

Greatest Common Factor of Numerators i.e. GCF of 85,31,202 is 1 .

LCM of Denominators means LCM of 61,239,884 as per the given fractions.

LCM of 61,239,884 is 12887836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,31,202

GCF of Fractions 85/61,31/239,202/884 is 1/12887836

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

Greatest Common Factor of 85,31,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,31,202 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 85,31,202 . The biggest common factor number is the GCF number.
So the greatest common factor 85,31,202 is 1.

Lets's calculate LCM of 61,239,884

Given numbers has no common factors except 1. So, there LCM is their product i.e 12887836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12887836

Therefore, the GCF of Fractions 85/61,31/239,202/884 is 1/12887836

Least Common Multiple of 61,239,884 with GCF Formula

Least Common Multiple of 61,239,884 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 61,239,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,239,884) = 1

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

GCF(61,239,884) x common factors =1 x 1 = 1

LCM(61,239,884) = ( 61 × 239 × 884 ) / 1

LCM(61,239,884) = 12887836 / 1

LCM(61,239,884) = 12887836


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 85/61, 31/239, 202/884

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 85/61, 31/239, 202/884?

Answer: GCF of Numerators as per given numbers 85/61, 31/239, 202/884 is

GCF of Numerators i.e. for 85,31,202 is 1

LCM of denominators i.e. for 61,239,884 is 12887836.

Thus, GCF of Fractions is 1/12887836.Finally, GCF of Fractions for 85/61, 31/239, 202/884 is 1/12887836.