Greatest Common Factor of 56/13, 68/22, 970/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/13, 68/22, 970/517

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 56/13,68/22,970/517

Given fractions are 56/13,68/22,970/517

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 56,68,970

Greatest Common Factor of Numerators i.e. GCF of 56,68,970 is 2 .

LCM of Denominators means LCM of 13,22,517 as per the given fractions.

LCM of 13,22,517 is 13442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,68,970

GCF of Fractions 56/13,68/22,970/517 is 2/13442

2 56, 68, 970
28, 34, 485

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 56,68,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,68,970 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 56,68,970 . The biggest common factor number is the GCF number.
So the greatest common factor 56,68,970 is 2.

Lets's calculate LCM of 13,22,517

11 13, 22, 517
13, 2, 47

∴ So the LCM of the given numbers is 11 x 13 x 2 x 47 = 13442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13442

Therefore, the GCF of Fractions 56/13,68/22,970/517 is 2/13442

Least Common Multiple of 13,22,517 with GCF Formula

Least Common Multiple of 13,22,517 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 13,22,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,22,517) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(13,22,517) x common factors =1 x 11 = 11

LCM(13,22,517) = ( 13 × 22 × 517 ) / 11

LCM(13,22,517) = 147862 / 11

LCM(13,22,517) = 13442


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 56/13, 68/22, 970/517

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 56/13, 68/22, 970/517?

Answer: GCF of Numerators as per given numbers 56/13, 68/22, 970/517 is

GCF of Numerators i.e. for 56,68,970 is 2

LCM of denominators i.e. for 13,22,517 is 13442.

Thus, GCF of Fractions is 2/13442.Finally, GCF of Fractions for 56/13, 68/22, 970/517 is 2/13442.