Greatest Common Factor of 971/34, 560/20, 169/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/34, 560/20, 169/563

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 971/34,560/20,169/563

Given fractions are 971/34,560/20,169/563

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 971,560,169

Greatest Common Factor of Numerators i.e. GCF of 971,560,169 is 1 .

LCM of Denominators means LCM of 34,20,563 as per the given fractions.

LCM of 34,20,563 is 191420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,560,169

GCF of Fractions 971/34,560/20,169/563 is 1/191420

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

Greatest Common Factor of 971,560,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,560,169 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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 971,560,169 . The biggest common factor number is the GCF number.
So the greatest common factor 971,560,169 is 1.

Lets's calculate LCM of 34,20,563

2 34, 20, 563
17, 10, 563

∴ So the LCM of the given numbers is 2 x 17 x 10 x 563 = 191420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191420

Therefore, the GCF of Fractions 971/34,560/20,169/563 is 1/191420

Least Common Multiple of 34,20,563 with GCF Formula

Least Common Multiple of 34,20,563 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 34,20,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,20,563) = 1

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

GCF(34,20,563) x common factors =1 x 2 = 2

LCM(34,20,563) = ( 34 × 20 × 563 ) / 2

LCM(34,20,563) = 382840 / 2

LCM(34,20,563) = 191420


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 971/34, 560/20, 169/563

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 971/34, 560/20, 169/563?

Answer: GCF of Numerators as per given numbers 971/34, 560/20, 169/563 is

GCF of Numerators i.e. for 971,560,169 is 1

LCM of denominators i.e. for 34,20,563 is 191420.

Thus, GCF of Fractions is 1/191420.Finally, GCF of Fractions for 971/34, 560/20, 169/563 is 1/191420.