Greatest Common Factor of 38/557, 89/343, 322/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/557, 89/343, 322/131

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 38/557,89/343,322/131

Given fractions are 38/557,89/343,322/131

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 38,89,322

Greatest Common Factor of Numerators i.e. GCF of 38,89,322 is 1 .

LCM of Denominators means LCM of 557,343,131 as per the given fractions.

LCM of 557,343,131 is 25027681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,89,322

GCF of Fractions 38/557,89/343,322/131 is 1/25027681

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

Greatest Common Factor of 38,89,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,89,322 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 38,89,322 . The biggest common factor number is the GCF number.
So the greatest common factor 38,89,322 is 1.

Lets's calculate LCM of 557,343,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 25027681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25027681

Therefore, the GCF of Fractions 38/557,89/343,322/131 is 1/25027681

Least Common Multiple of 557,343,131 with GCF Formula

Least Common Multiple of 557,343,131 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 557,343,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,343,131) = 1

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

GCF(557,343,131) x common factors =1 x 1 = 1

LCM(557,343,131) = ( 557 × 343 × 131 ) / 1

LCM(557,343,131) = 25027681 / 1

LCM(557,343,131) = 25027681


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 38/557, 89/343, 322/131

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 38/557, 89/343, 322/131?

Answer: GCF of Numerators as per given numbers 38/557, 89/343, 322/131 is

GCF of Numerators i.e. for 38,89,322 is 1

LCM of denominators i.e. for 557,343,131 is 25027681.

Thus, GCF of Fractions is 1/25027681.Finally, GCF of Fractions for 38/557, 89/343, 322/131 is 1/25027681.