Greatest Common Factor of 157/209, 5813/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/209, 5813/304

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 157/209,5813/304

Given fractions are 157/209,5813/304

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 157,5813

Greatest Common Factor of Numerators i.e. GCF of 157,5813 is 1 .

LCM of Denominators means LCM of 209,304 as per the given fractions.

LCM of 209,304 is 3344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,5813

GCF of Fractions 157/209,5813/304 is 1/3344

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

Greatest Common Factor of 157,5813 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,5813 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 5813

List of positive integer factors of 5813 that divides 5813 without a remainder.

1,5813

Greatest Common Factor

We found the factors 157,5813 . The biggest common factor number is the GCF number.
So the greatest common factor 157,5813 is 1.

Lets's calculate LCM of 209,304

19 209, 304
11, 16

∴ So the LCM of the given numbers is 19 x 11 x 16 = 3344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3344

Therefore, the GCF of Fractions 157/209,5813/304 is 1/3344

Least Common Multiple of 209,304 with GCF Formula

Least Common Multiple of 209,304 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 209,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,304) = 19

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

GCF(209,304) x common factors =19 x 1 = 19

LCM(209,304) = ( 209 × 304 ) / 19

LCM(209,304) = 63536 / 19

LCM(209,304) = 3344


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 157/209, 5813/304

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 157/209, 5813/304?

Answer: GCF of Numerators as per given numbers 157/209, 5813/304 is

GCF of Numerators i.e. for 157,5813 is 1

LCM of denominators i.e. for 209,304 is 3344.

Thus, GCF of Fractions is 1/3344.Finally, GCF of Fractions for 157/209, 5813/304 is 1/3344.