Greatest Common Factor of 4954/721, 8755/3231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4954/721, 8755/3231

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 4954/721,8755/3231

Given fractions are 4954/721,8755/3231

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 4954,8755

Greatest Common Factor of Numerators i.e. GCF of 4954,8755 is 1 .

LCM of Denominators means LCM of 721,3231 as per the given fractions.

LCM of 721,3231 is 2329551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4954,8755

GCF of Fractions 4954/721,8755/3231 is 1/2329551

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

Greatest Common Factor of 4954,8755 By Matching Biggest Common Factor Method

Greatest Common Factor of 4954,8755 By Matching Biggest Common Factor Method

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1,2,2477,4954

Factors of 8755

List of positive integer factors of 8755 that divides 8755 without a remainder.

1,5,17,85,103,515,1751,8755

Greatest Common Factor

We found the factors 4954,8755 . The biggest common factor number is the GCF number.
So the greatest common factor 4954,8755 is 1.

Lets's calculate LCM of 721,3231

Given numbers has no common factors except 1. So, there LCM is their product i.e 2329551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2329551

Therefore, the GCF of Fractions 4954/721,8755/3231 is 1/2329551

Least Common Multiple of 721,3231 with GCF Formula

Least Common Multiple of 721,3231 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 721,3231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,3231) = 1

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

GCF(721,3231) x common factors =1 x 1 = 1

LCM(721,3231) = ( 721 × 3231 ) / 1

LCM(721,3231) = 2329551 / 1

LCM(721,3231) = 2329551


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 4954/721, 8755/3231

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 4954/721, 8755/3231?

Answer: GCF of Numerators as per given numbers 4954/721, 8755/3231 is

GCF of Numerators i.e. for 4954,8755 is 1

LCM of denominators i.e. for 721,3231 is 2329551.

Thus, GCF of Fractions is 1/2329551.Finally, GCF of Fractions for 4954/721, 8755/3231 is 1/2329551.