Greatest Common Factor of 91/56, 74/52, 17/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/56, 74/52, 17/598

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 91/56,74/52,17/598

Given fractions are 91/56,74/52,17/598

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 91,74,17

Greatest Common Factor of Numerators i.e. GCF of 91,74,17 is 1 .

LCM of Denominators means LCM of 56,52,598 as per the given fractions.

LCM of 56,52,598 is 16744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,74,17

GCF of Fractions 91/56,74/52,17/598 is 1/16744

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

Greatest Common Factor of 91,74,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,74,17 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 91,74,17 . The biggest common factor number is the GCF number.
So the greatest common factor 91,74,17 is 1.

Lets's calculate LCM of 56,52,598

2 56, 52, 598
2 28, 26, 299
13 14, 13, 299
14, 1, 23

∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 1 x 23 = 16744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16744

Therefore, the GCF of Fractions 91/56,74/52,17/598 is 1/16744

Least Common Multiple of 56,52,598 with GCF Formula

Least Common Multiple of 56,52,598 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 56,52,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,598) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(56,52,598) x common factors =2 x 52 = 104

LCM(56,52,598) = ( 56 × 52 × 598 ) / 104

LCM(56,52,598) = 1741376 / 104

LCM(56,52,598) = 16744


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 91/56, 74/52, 17/598

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 91/56, 74/52, 17/598?

Answer: GCF of Numerators as per given numbers 91/56, 74/52, 17/598 is

GCF of Numerators i.e. for 91,74,17 is 1

LCM of denominators i.e. for 56,52,598 is 16744.

Thus, GCF of Fractions is 1/16744.Finally, GCF of Fractions for 91/56, 74/52, 17/598 is 1/16744.