Greatest Common Factor of 1157/609, 5689/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1157/609, 5689/900

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 1157/609,5689/900

Given fractions are 1157/609,5689/900

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 1157,5689

Greatest Common Factor of Numerators i.e. GCF of 1157,5689 is 1 .

LCM of Denominators means LCM of 609,900 as per the given fractions.

LCM of 609,900 is 182700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1157,5689

GCF of Fractions 1157/609,5689/900 is 1/182700

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

Greatest Common Factor of 1157,5689 By Matching Biggest Common Factor Method

Greatest Common Factor of 1157,5689 By Matching Biggest Common Factor Method

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1,13,89,1157

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Greatest Common Factor

We found the factors 1157,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 1157,5689 is 1.

Lets's calculate LCM of 609,900

3 609, 900
203, 300

∴ So the LCM of the given numbers is 3 x 203 x 300 = 182700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182700

Therefore, the GCF of Fractions 1157/609,5689/900 is 1/182700

Least Common Multiple of 609,900 with GCF Formula

Least Common Multiple of 609,900 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 609,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,900) = 3

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

GCF(609,900) x common factors =3 x 1 = 3

LCM(609,900) = ( 609 × 900 ) / 3

LCM(609,900) = 548100 / 3

LCM(609,900) = 182700


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 1157/609, 5689/900

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 1157/609, 5689/900?

Answer: GCF of Numerators as per given numbers 1157/609, 5689/900 is

GCF of Numerators i.e. for 1157,5689 is 1

LCM of denominators i.e. for 609,900 is 182700.

Thus, GCF of Fractions is 1/182700.Finally, GCF of Fractions for 1157/609, 5689/900 is 1/182700.