Greatest Common Factor of 71/55, 916/11, 221/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/55, 916/11, 221/746

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 71/55,916/11,221/746

Given fractions are 71/55,916/11,221/746

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 71,916,221

Greatest Common Factor of Numerators i.e. GCF of 71,916,221 is 1 .

LCM of Denominators means LCM of 55,11,746 as per the given fractions.

LCM of 55,11,746 is 41030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,916,221

GCF of Fractions 71/55,916/11,221/746 is 1/41030

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

Greatest Common Factor of 71,916,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,916,221 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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 71,916,221 . The biggest common factor number is the GCF number.
So the greatest common factor 71,916,221 is 1.

Lets's calculate LCM of 55,11,746

11 55, 11, 746
5, 1, 746

∴ So the LCM of the given numbers is 11 x 5 x 1 x 746 = 41030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41030

Therefore, the GCF of Fractions 71/55,916/11,221/746 is 1/41030

Least Common Multiple of 55,11,746 with GCF Formula

Least Common Multiple of 55,11,746 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 55,11,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,11,746) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,11,746) x common factors =1 x 11 = 11

LCM(55,11,746) = ( 55 × 11 × 746 ) / 11

LCM(55,11,746) = 451330 / 11

LCM(55,11,746) = 41030


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 71/55, 916/11, 221/746

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 71/55, 916/11, 221/746?

Answer: GCF of Numerators as per given numbers 71/55, 916/11, 221/746 is

GCF of Numerators i.e. for 71,916,221 is 1

LCM of denominators i.e. for 55,11,746 is 41030.

Thus, GCF of Fractions is 1/41030.Finally, GCF of Fractions for 71/55, 916/11, 221/746 is 1/41030.