Greatest Common Factor of 532/98, 740/12, 731/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/98, 740/12, 731/68

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 532/98,740/12,731/68

Given fractions are 532/98,740/12,731/68

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 532,740,731

Greatest Common Factor of Numerators i.e. GCF of 532,740,731 is 1 .

LCM of Denominators means LCM of 98,12,68 as per the given fractions.

LCM of 98,12,68 is 9996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,740,731

GCF of Fractions 532/98,740/12,731/68 is 1/9996

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

Greatest Common Factor of 532,740,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,740,731 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 532,740,731 . The biggest common factor number is the GCF number.
So the greatest common factor 532,740,731 is 1.

Lets's calculate LCM of 98,12,68

2 98, 12, 68
2 49, 6, 34
49, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 49 x 3 x 17 = 9996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9996

Therefore, the GCF of Fractions 532/98,740/12,731/68 is 1/9996

Least Common Multiple of 98,12,68 with GCF Formula

Least Common Multiple of 98,12,68 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 98,12,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,12,68) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,12,68) x common factors =2 x 4 = 8

LCM(98,12,68) = ( 98 × 12 × 68 ) / 8

LCM(98,12,68) = 79968 / 8

LCM(98,12,68) = 9996


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 532/98, 740/12, 731/68

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 532/98, 740/12, 731/68?

Answer: GCF of Numerators as per given numbers 532/98, 740/12, 731/68 is

GCF of Numerators i.e. for 532,740,731 is 1

LCM of denominators i.e. for 98,12,68 is 9996.

Thus, GCF of Fractions is 1/9996.Finally, GCF of Fractions for 532/98, 740/12, 731/68 is 1/9996.