Greatest Common Factor of 71/213, 328/842, 656/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/213, 328/842, 656/759

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 71/213,328/842,656/759

Given fractions are 71/213,328/842,656/759

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 71,328,656

Greatest Common Factor of Numerators i.e. GCF of 71,328,656 is 1 .

LCM of Denominators means LCM of 213,842,759 as per the given fractions.

LCM of 213,842,759 is 45374538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,328,656

GCF of Fractions 71/213,328/842,656/759 is 1/45374538

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

Greatest Common Factor of 71,328,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,328,656 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 71,328,656 . The biggest common factor number is the GCF number.
So the greatest common factor 71,328,656 is 1.

Lets's calculate LCM of 213,842,759

3 213, 842, 759
71, 842, 253

∴ So the LCM of the given numbers is 3 x 71 x 842 x 253 = 45374538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45374538

Therefore, the GCF of Fractions 71/213,328/842,656/759 is 1/45374538

Least Common Multiple of 213,842,759 with GCF Formula

Least Common Multiple of 213,842,759 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 213,842,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,842,759) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(213,842,759) x common factors =1 x 3 = 3

LCM(213,842,759) = ( 213 × 842 × 759 ) / 3

LCM(213,842,759) = 136123614 / 3

LCM(213,842,759) = 45374538


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 71/213, 328/842, 656/759

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 71/213, 328/842, 656/759?

Answer: GCF of Numerators as per given numbers 71/213, 328/842, 656/759 is

GCF of Numerators i.e. for 71,328,656 is 1

LCM of denominators i.e. for 213,842,759 is 45374538.

Thus, GCF of Fractions is 1/45374538.Finally, GCF of Fractions for 71/213, 328/842, 656/759 is 1/45374538.