Greatest Common Factor of 971/51, 602/6959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/51, 602/6959

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 971/51,602/6959

Given fractions are 971/51,602/6959

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 971,602

Greatest Common Factor of Numerators i.e. GCF of 971,602 is 1 .

LCM of Denominators means LCM of 51,6959 as per the given fractions.

LCM of 51,6959 is 354909 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,602

GCF of Fractions 971/51,602/6959 is 1/354909

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

Greatest Common Factor of 971,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,602 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 971,602 . The biggest common factor number is the GCF number.
So the greatest common factor 971,602 is 1.

Lets's calculate LCM of 51,6959

Given numbers has no common factors except 1. So, there LCM is their product i.e 354909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354909

Therefore, the GCF of Fractions 971/51,602/6959 is 1/354909

Least Common Multiple of 51,6959 with GCF Formula

Least Common Multiple of 51,6959 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 51,6959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,6959) = 1

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

GCF(51,6959) x common factors =1 x 1 = 1

LCM(51,6959) = ( 51 × 6959 ) / 1

LCM(51,6959) = 354909 / 1

LCM(51,6959) = 354909


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 971/51, 602/6959

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 971/51, 602/6959?

Answer: GCF of Numerators as per given numbers 971/51, 602/6959 is

GCF of Numerators i.e. for 971,602 is 1

LCM of denominators i.e. for 51,6959 is 354909.

Thus, GCF of Fractions is 1/354909.Finally, GCF of Fractions for 971/51, 602/6959 is 1/354909.