Greatest Common Factor of 4866/588, 2153/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4866/588, 2153/277

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 4866/588,2153/277

Given fractions are 4866/588,2153/277

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 4866,2153

Greatest Common Factor of Numerators i.e. GCF of 4866,2153 is 1 .

LCM of Denominators means LCM of 588,277 as per the given fractions.

LCM of 588,277 is 162876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4866,2153

GCF of Fractions 4866/588,2153/277 is 1/162876

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

Greatest Common Factor of 4866,2153 By Matching Biggest Common Factor Method

Greatest Common Factor of 4866,2153 By Matching Biggest Common Factor Method

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1,2,3,6,811,1622,2433,4866

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1,2153

Greatest Common Factor

We found the factors 4866,2153 . The biggest common factor number is the GCF number.
So the greatest common factor 4866,2153 is 1.

Lets's calculate LCM of 588,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 162876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162876

Therefore, the GCF of Fractions 4866/588,2153/277 is 1/162876

Least Common Multiple of 588,277 with GCF Formula

Least Common Multiple of 588,277 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 588,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,277) = 1

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

GCF(588,277) x common factors =1 x 1 = 1

LCM(588,277) = ( 588 × 277 ) / 1

LCM(588,277) = 162876 / 1

LCM(588,277) = 162876


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 4866/588, 2153/277

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 4866/588, 2153/277?

Answer: GCF of Numerators as per given numbers 4866/588, 2153/277 is

GCF of Numerators i.e. for 4866,2153 is 1

LCM of denominators i.e. for 588,277 is 162876.

Thus, GCF of Fractions is 1/162876.Finally, GCF of Fractions for 4866/588, 2153/277 is 1/162876.