Greatest Common Factor of 95/71, 171/33, 557/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/71, 171/33, 557/466

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 95/71,171/33,557/466

Given fractions are 95/71,171/33,557/466

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 95,171,557

Greatest Common Factor of Numerators i.e. GCF of 95,171,557 is 1 .

LCM of Denominators means LCM of 71,33,466 as per the given fractions.

LCM of 71,33,466 is 1091838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,171,557

GCF of Fractions 95/71,171/33,557/466 is 1/1091838

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

Greatest Common Factor of 95,171,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,171,557 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 95,171,557 . The biggest common factor number is the GCF number.
So the greatest common factor 95,171,557 is 1.

Lets's calculate LCM of 71,33,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 1091838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1091838

Therefore, the GCF of Fractions 95/71,171/33,557/466 is 1/1091838

Least Common Multiple of 71,33,466 with GCF Formula

Least Common Multiple of 71,33,466 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 71,33,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,33,466) = 1

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

GCF(71,33,466) x common factors =1 x 1 = 1

LCM(71,33,466) = ( 71 × 33 × 466 ) / 1

LCM(71,33,466) = 1091838 / 1

LCM(71,33,466) = 1091838


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 95/71, 171/33, 557/466

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 95/71, 171/33, 557/466?

Answer: GCF of Numerators as per given numbers 95/71, 171/33, 557/466 is

GCF of Numerators i.e. for 95,171,557 is 1

LCM of denominators i.e. for 71,33,466 is 1091838.

Thus, GCF of Fractions is 1/1091838.Finally, GCF of Fractions for 95/71, 171/33, 557/466 is 1/1091838.