Greatest Common Factor of 268/528, 173/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/528, 173/710

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 268/528,173/710

Given fractions are 268/528,173/710

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 268,173

Greatest Common Factor of Numerators i.e. GCF of 268,173 is 1 .

LCM of Denominators means LCM of 528,710 as per the given fractions.

LCM of 528,710 is 187440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,173

GCF of Fractions 268/528,173/710 is 1/187440

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

Greatest Common Factor of 268,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,173 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 268,173 . The biggest common factor number is the GCF number.
So the greatest common factor 268,173 is 1.

Lets's calculate LCM of 528,710

2 528, 710
264, 355

∴ So the LCM of the given numbers is 2 x 264 x 355 = 187440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187440

Therefore, the GCF of Fractions 268/528,173/710 is 1/187440

Least Common Multiple of 528,710 with GCF Formula

Least Common Multiple of 528,710 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 528,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,710) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(528,710) x common factors =2 x 1 = 2

LCM(528,710) = ( 528 × 710 ) / 2

LCM(528,710) = 374880 / 2

LCM(528,710) = 187440


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 268/528, 173/710

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 268/528, 173/710?

Answer: GCF of Numerators as per given numbers 268/528, 173/710 is

GCF of Numerators i.e. for 268,173 is 1

LCM of denominators i.e. for 528,710 is 187440.

Thus, GCF of Fractions is 1/187440.Finally, GCF of Fractions for 268/528, 173/710 is 1/187440.