Greatest Common Factor of 157/586, 1053/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/586, 1053/383

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 157/586,1053/383

Given fractions are 157/586,1053/383

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 157,1053

Greatest Common Factor of Numerators i.e. GCF of 157,1053 is 1 .

LCM of Denominators means LCM of 586,383 as per the given fractions.

LCM of 586,383 is 224438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,1053

GCF of Fractions 157/586,1053/383 is 1/224438

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

Greatest Common Factor of 157,1053 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,1053 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Greatest Common Factor

We found the factors 157,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 157,1053 is 1.

Lets's calculate LCM of 586,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 224438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224438

Therefore, the GCF of Fractions 157/586,1053/383 is 1/224438

Least Common Multiple of 586,383 with GCF Formula

Least Common Multiple of 586,383 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 586,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,383) = 1

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

GCF(586,383) x common factors =1 x 1 = 1

LCM(586,383) = ( 586 × 383 ) / 1

LCM(586,383) = 224438 / 1

LCM(586,383) = 224438


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 157/586, 1053/383

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 157/586, 1053/383?

Answer: GCF of Numerators as per given numbers 157/586, 1053/383 is

GCF of Numerators i.e. for 157,1053 is 1

LCM of denominators i.e. for 586,383 is 224438.

Thus, GCF of Fractions is 1/224438.Finally, GCF of Fractions for 157/586, 1053/383 is 1/224438.