Greatest Common Factor of 634/31, 951/1043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/31, 951/1043

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 634/31,951/1043

Given fractions are 634/31,951/1043

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 634,951

Greatest Common Factor of Numerators i.e. GCF of 634,951 is 317 .

LCM of Denominators means LCM of 31,1043 as per the given fractions.

LCM of 31,1043 is 32333 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,951

GCF of Fractions 634/31,951/1043 is 317/32333

317 634, 951
2, 3

∴ So the GCF of the given numbers is 317 = 317

Greatest Common Factor of 634,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,951 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 634,951 . The biggest common factor number is the GCF number.
So the greatest common factor 634,951 is 317.

Lets's calculate LCM of 31,1043

Given numbers has no common factors except 1. So, there LCM is their product i.e 32333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 317/32333

Therefore, the GCF of Fractions 634/31,951/1043 is 317/32333

Least Common Multiple of 31,1043 with GCF Formula

Least Common Multiple of 31,1043 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 31,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,1043) = 1

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

GCF(31,1043) x common factors =1 x 1 = 1

LCM(31,1043) = ( 31 × 1043 ) / 1

LCM(31,1043) = 32333 / 1

LCM(31,1043) = 32333


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 634/31, 951/1043

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 634/31, 951/1043?

Answer: GCF of Numerators as per given numbers 634/31, 951/1043 is

GCF of Numerators i.e. for 634,951 is 317

LCM of denominators i.e. for 31,1043 is 32333.

Thus, GCF of Fractions is 317/32333.Finally, GCF of Fractions for 634/31, 951/1043 is 317/32333.