Greatest Common Factor of 71/910, 77/813, 516/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/910, 77/813, 516/182

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 71/910,77/813,516/182

Given fractions are 71/910,77/813,516/182

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 71,77,516

Greatest Common Factor of Numerators i.e. GCF of 71,77,516 is 1 .

LCM of Denominators means LCM of 910,813,182 as per the given fractions.

LCM of 910,813,182 is 739830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,77,516

GCF of Fractions 71/910,77/813,516/182 is 1/739830

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

Greatest Common Factor of 71,77,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,77,516 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 71,77,516 . The biggest common factor number is the GCF number.
So the greatest common factor 71,77,516 is 1.

Lets's calculate LCM of 910,813,182

2 910, 813, 182
7 455, 813, 91
13 65, 813, 13
5, 813, 1

∴ So the LCM of the given numbers is 2 x 7 x 13 x 5 x 813 x 1 = 739830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/739830

Therefore, the GCF of Fractions 71/910,77/813,516/182 is 1/739830

Least Common Multiple of 910,813,182 with GCF Formula

Least Common Multiple of 910,813,182 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 910,813,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,813,182) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(910,813,182) x common factors =1 x 182 = 182

LCM(910,813,182) = ( 910 × 813 × 182 ) / 182

LCM(910,813,182) = 134649060 / 182

LCM(910,813,182) = 739830


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 71/910, 77/813, 516/182

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 71/910, 77/813, 516/182?

Answer: GCF of Numerators as per given numbers 71/910, 77/813, 516/182 is

GCF of Numerators i.e. for 71,77,516 is 1

LCM of denominators i.e. for 910,813,182 is 739830.

Thus, GCF of Fractions is 1/739830.Finally, GCF of Fractions for 71/910, 77/813, 516/182 is 1/739830.