Greatest Common Factor of 251/315, 973/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/315, 973/667

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 251/315,973/667

Given fractions are 251/315,973/667

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 251,973

Greatest Common Factor of Numerators i.e. GCF of 251,973 is 1 .

LCM of Denominators means LCM of 315,667 as per the given fractions.

LCM of 315,667 is 210105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,973

GCF of Fractions 251/315,973/667 is 1/210105

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

Greatest Common Factor of 251,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,973 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 251,973 . The biggest common factor number is the GCF number.
So the greatest common factor 251,973 is 1.

Lets's calculate LCM of 315,667

Given numbers has no common factors except 1. So, there LCM is their product i.e 210105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210105

Therefore, the GCF of Fractions 251/315,973/667 is 1/210105

Least Common Multiple of 315,667 with GCF Formula

Least Common Multiple of 315,667 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 315,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,667) = 1

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

GCF(315,667) x common factors =1 x 1 = 1

LCM(315,667) = ( 315 × 667 ) / 1

LCM(315,667) = 210105 / 1

LCM(315,667) = 210105


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 251/315, 973/667

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 251/315, 973/667?

Answer: GCF of Numerators as per given numbers 251/315, 973/667 is

GCF of Numerators i.e. for 251,973 is 1

LCM of denominators i.e. for 315,667 is 210105.

Thus, GCF of Fractions is 1/210105.Finally, GCF of Fractions for 251/315, 973/667 is 1/210105.