Greatest Common Factor of 841/500, 3258/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/500, 3258/277

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 841/500,3258/277

Given fractions are 841/500,3258/277

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 841,3258

Greatest Common Factor of Numerators i.e. GCF of 841,3258 is 1 .

LCM of Denominators means LCM of 500,277 as per the given fractions.

LCM of 500,277 is 138500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,3258

GCF of Fractions 841/500,3258/277 is 1/138500

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

Greatest Common Factor of 841,3258 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,3258 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

Greatest Common Factor

We found the factors 841,3258 . The biggest common factor number is the GCF number.
So the greatest common factor 841,3258 is 1.

Lets's calculate LCM of 500,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 138500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138500

Therefore, the GCF of Fractions 841/500,3258/277 is 1/138500

Least Common Multiple of 500,277 with GCF Formula

Least Common Multiple of 500,277 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 500,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,277) = 1

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

GCF(500,277) x common factors =1 x 1 = 1

LCM(500,277) = ( 500 × 277 ) / 1

LCM(500,277) = 138500 / 1

LCM(500,277) = 138500


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 841/500, 3258/277

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 841/500, 3258/277?

Answer: GCF of Numerators as per given numbers 841/500, 3258/277 is

GCF of Numerators i.e. for 841,3258 is 1

LCM of denominators i.e. for 500,277 is 138500.

Thus, GCF of Fractions is 1/138500.Finally, GCF of Fractions for 841/500, 3258/277 is 1/138500.