Greatest Common Factor of 5359/149, 2461/1814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5359/149, 2461/1814

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 5359/149,2461/1814

Given fractions are 5359/149,2461/1814

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 5359,2461

Greatest Common Factor of Numerators i.e. GCF of 5359,2461 is 23 .

LCM of Denominators means LCM of 149,1814 as per the given fractions.

LCM of 149,1814 is 270286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5359,2461

GCF of Fractions 5359/149,2461/1814 is 23/270286

23 5359, 2461
233, 107

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 5359,2461 By Matching Biggest Common Factor Method

Greatest Common Factor of 5359,2461 By Matching Biggest Common Factor Method

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1,23,233,5359

Factors of 2461

List of positive integer factors of 2461 that divides 2461 without a remainder.

1,23,107,2461

Greatest Common Factor

We found the factors 5359,2461 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,2461 is 23.

Lets's calculate LCM of 149,1814

Given numbers has no common factors except 1. So, there LCM is their product i.e 270286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/270286

Therefore, the GCF of Fractions 5359/149,2461/1814 is 23/270286

Least Common Multiple of 149,1814 with GCF Formula

Least Common Multiple of 149,1814 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 149,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,1814) = 1

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

GCF(149,1814) x common factors =1 x 1 = 1

LCM(149,1814) = ( 149 × 1814 ) / 1

LCM(149,1814) = 270286 / 1

LCM(149,1814) = 270286


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 5359/149, 2461/1814

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 5359/149, 2461/1814?

Answer: GCF of Numerators as per given numbers 5359/149, 2461/1814 is

GCF of Numerators i.e. for 5359,2461 is 23

LCM of denominators i.e. for 149,1814 is 270286.

Thus, GCF of Fractions is 23/270286.Finally, GCF of Fractions for 5359/149, 2461/1814 is 23/270286.