Greatest Common Factor of 631/78, 212/50, 290/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/78, 212/50, 290/797

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 631/78,212/50,290/797

Given fractions are 631/78,212/50,290/797

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 631,212,290

Greatest Common Factor of Numerators i.e. GCF of 631,212,290 is 1 .

LCM of Denominators means LCM of 78,50,797 as per the given fractions.

LCM of 78,50,797 is 1554150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,212,290

GCF of Fractions 631/78,212/50,290/797 is 1/1554150

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

Greatest Common Factor of 631,212,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,212,290 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 631,212,290 . The biggest common factor number is the GCF number.
So the greatest common factor 631,212,290 is 1.

Lets's calculate LCM of 78,50,797

2 78, 50, 797
39, 25, 797

∴ So the LCM of the given numbers is 2 x 39 x 25 x 797 = 1554150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1554150

Therefore, the GCF of Fractions 631/78,212/50,290/797 is 1/1554150

Least Common Multiple of 78,50,797 with GCF Formula

Least Common Multiple of 78,50,797 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 78,50,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,50,797) = 1

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

GCF(78,50,797) x common factors =1 x 2 = 2

LCM(78,50,797) = ( 78 × 50 × 797 ) / 2

LCM(78,50,797) = 3108300 / 2

LCM(78,50,797) = 1554150


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 631/78, 212/50, 290/797

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 631/78, 212/50, 290/797?

Answer: GCF of Numerators as per given numbers 631/78, 212/50, 290/797 is

GCF of Numerators i.e. for 631,212,290 is 1

LCM of denominators i.e. for 78,50,797 is 1554150.

Thus, GCF of Fractions is 1/1554150.Finally, GCF of Fractions for 631/78, 212/50, 290/797 is 1/1554150.