Greatest Common Factor of 31/647, 320/583, 851/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/647, 320/583, 851/474

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 31/647,320/583,851/474

Given fractions are 31/647,320/583,851/474

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 31,320,851

Greatest Common Factor of Numerators i.e. GCF of 31,320,851 is 1 .

LCM of Denominators means LCM of 647,583,474 as per the given fractions.

LCM of 647,583,474 is 178793274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,320,851

GCF of Fractions 31/647,320/583,851/474 is 1/178793274

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

Greatest Common Factor of 31,320,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,320,851 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 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 31,320,851 . The biggest common factor number is the GCF number.
So the greatest common factor 31,320,851 is 1.

Lets's calculate LCM of 647,583,474

Given numbers has no common factors except 1. So, there LCM is their product i.e 178793274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178793274

Therefore, the GCF of Fractions 31/647,320/583,851/474 is 1/178793274

Least Common Multiple of 647,583,474 with GCF Formula

Least Common Multiple of 647,583,474 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 647,583,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,583,474) = 1

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

GCF(647,583,474) x common factors =1 x 1 = 1

LCM(647,583,474) = ( 647 × 583 × 474 ) / 1

LCM(647,583,474) = 178793274 / 1

LCM(647,583,474) = 178793274


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 31/647, 320/583, 851/474

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 31/647, 320/583, 851/474?

Answer: GCF of Numerators as per given numbers 31/647, 320/583, 851/474 is

GCF of Numerators i.e. for 31,320,851 is 1

LCM of denominators i.e. for 647,583,474 is 178793274.

Thus, GCF of Fractions is 1/178793274.Finally, GCF of Fractions for 31/647, 320/583, 851/474 is 1/178793274.