Greatest Common Factor of 97/564, 78/806, 460/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/564, 78/806, 460/971

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 97/564,78/806,460/971

Given fractions are 97/564,78/806,460/971

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 97,78,460

Greatest Common Factor of Numerators i.e. GCF of 97,78,460 is 1 .

LCM of Denominators means LCM of 564,806,971 as per the given fractions.

LCM of 564,806,971 is 220700532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,78,460

GCF of Fractions 97/564,78/806,460/971 is 1/220700532

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

Greatest Common Factor of 97,78,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,78,460 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 97,78,460 . The biggest common factor number is the GCF number.
So the greatest common factor 97,78,460 is 1.

Lets's calculate LCM of 564,806,971

2 564, 806, 971
282, 403, 971

∴ So the LCM of the given numbers is 2 x 282 x 403 x 971 = 220700532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220700532

Therefore, the GCF of Fractions 97/564,78/806,460/971 is 1/220700532

Least Common Multiple of 564,806,971 with GCF Formula

Least Common Multiple of 564,806,971 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 564,806,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,806,971) = 1

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

GCF(564,806,971) x common factors =1 x 2 = 2

LCM(564,806,971) = ( 564 × 806 × 971 ) / 2

LCM(564,806,971) = 441401064 / 2

LCM(564,806,971) = 220700532


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 97/564, 78/806, 460/971

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 97/564, 78/806, 460/971?

Answer: GCF of Numerators as per given numbers 97/564, 78/806, 460/971 is

GCF of Numerators i.e. for 97,78,460 is 1

LCM of denominators i.e. for 564,806,971 is 220700532.

Thus, GCF of Fractions is 1/220700532.Finally, GCF of Fractions for 97/564, 78/806, 460/971 is 1/220700532.