Greatest Common Factor of 31/82, 55/98, 421/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/82, 55/98, 421/631

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 31/82,55/98,421/631

Given fractions are 31/82,55/98,421/631

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 31,55,421

Greatest Common Factor of Numerators i.e. GCF of 31,55,421 is 1 .

LCM of Denominators means LCM of 82,98,631 as per the given fractions.

LCM of 82,98,631 is 2535358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,55,421

GCF of Fractions 31/82,55/98,421/631 is 1/2535358

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

Greatest Common Factor of 31,55,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,55,421 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 31,55,421 . The biggest common factor number is the GCF number.
So the greatest common factor 31,55,421 is 1.

Lets's calculate LCM of 82,98,631

2 82, 98, 631
41, 49, 631

∴ So the LCM of the given numbers is 2 x 41 x 49 x 631 = 2535358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2535358

Therefore, the GCF of Fractions 31/82,55/98,421/631 is 1/2535358

Least Common Multiple of 82,98,631 with GCF Formula

Least Common Multiple of 82,98,631 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 82,98,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,98,631) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,98,631) x common factors =1 x 2 = 2

LCM(82,98,631) = ( 82 × 98 × 631 ) / 2

LCM(82,98,631) = 5070716 / 2

LCM(82,98,631) = 2535358


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 31/82, 55/98, 421/631

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 31/82, 55/98, 421/631?

Answer: GCF of Numerators as per given numbers 31/82, 55/98, 421/631 is

GCF of Numerators i.e. for 31,55,421 is 1

LCM of denominators i.e. for 82,98,631 is 2535358.

Thus, GCF of Fractions is 1/2535358.Finally, GCF of Fractions for 31/82, 55/98, 421/631 is 1/2535358.