Greatest Common Factor of 116/173, 771/676, 413/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/173, 771/676, 413/909

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 116/173,771/676,413/909

Given fractions are 116/173,771/676,413/909

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 116,771,413

Greatest Common Factor of Numerators i.e. GCF of 116,771,413 is 1 .

LCM of Denominators means LCM of 173,676,909 as per the given fractions.

LCM of 173,676,909 is 106305732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,771,413

GCF of Fractions 116/173,771/676,413/909 is 1/106305732

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

Greatest Common Factor of 116,771,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,771,413 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 116,771,413 . The biggest common factor number is the GCF number.
So the greatest common factor 116,771,413 is 1.

Lets's calculate LCM of 173,676,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 106305732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106305732

Therefore, the GCF of Fractions 116/173,771/676,413/909 is 1/106305732

Least Common Multiple of 173,676,909 with GCF Formula

Least Common Multiple of 173,676,909 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 173,676,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,676,909) = 1

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

GCF(173,676,909) x common factors =1 x 1 = 1

LCM(173,676,909) = ( 173 × 676 × 909 ) / 1

LCM(173,676,909) = 106305732 / 1

LCM(173,676,909) = 106305732


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 116/173, 771/676, 413/909

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 116/173, 771/676, 413/909?

Answer: GCF of Numerators as per given numbers 116/173, 771/676, 413/909 is

GCF of Numerators i.e. for 116,771,413 is 1

LCM of denominators i.e. for 173,676,909 is 106305732.

Thus, GCF of Fractions is 1/106305732.Finally, GCF of Fractions for 116/173, 771/676, 413/909 is 1/106305732.