Greatest Common Factor of 4977/558, 3474/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4977/558, 3474/893

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 4977/558,3474/893

Given fractions are 4977/558,3474/893

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 4977,3474

Greatest Common Factor of Numerators i.e. GCF of 4977,3474 is 9 .

LCM of Denominators means LCM of 558,893 as per the given fractions.

LCM of 558,893 is 498294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4977,3474

GCF of Fractions 4977/558,3474/893 is 9/498294

3 4977, 3474
3 1659, 1158
553, 386

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4977,3474 By Matching Biggest Common Factor Method

Greatest Common Factor of 4977,3474 By Matching Biggest Common Factor Method

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors 4977,3474 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,3474 is 9.

Lets's calculate LCM of 558,893

Given numbers has no common factors except 1. So, there LCM is their product i.e 498294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/498294

Therefore, the GCF of Fractions 4977/558,3474/893 is 9/498294

Least Common Multiple of 558,893 with GCF Formula

Least Common Multiple of 558,893 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 558,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,893) = 1

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

GCF(558,893) x common factors =1 x 1 = 1

LCM(558,893) = ( 558 × 893 ) / 1

LCM(558,893) = 498294 / 1

LCM(558,893) = 498294


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 4977/558, 3474/893

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 4977/558, 3474/893?

Answer: GCF of Numerators as per given numbers 4977/558, 3474/893 is

GCF of Numerators i.e. for 4977,3474 is 9

LCM of denominators i.e. for 558,893 is 498294.

Thus, GCF of Fractions is 9/498294.Finally, GCF of Fractions for 4977/558, 3474/893 is 9/498294.