Greatest Common Factor of 5902/552, 9791/4977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5902/552, 9791/4977

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 5902/552,9791/4977

Given fractions are 5902/552,9791/4977

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 5902,9791

Greatest Common Factor of Numerators i.e. GCF of 5902,9791 is 1 .

LCM of Denominators means LCM of 552,4977 as per the given fractions.

LCM of 552,4977 is 915768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5902,9791

GCF of Fractions 5902/552,9791/4977 is 1/915768

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

Greatest Common Factor of 5902,9791 By Matching Biggest Common Factor Method

Greatest Common Factor of 5902,9791 By Matching Biggest Common Factor Method

Factors of 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1,2,13,26,227,454,2951,5902

Factors of 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1,9791

Greatest Common Factor

We found the factors 5902,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,9791 is 1.

Lets's calculate LCM of 552,4977

3 552, 4977
184, 1659

∴ So the LCM of the given numbers is 3 x 184 x 1659 = 915768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915768

Therefore, the GCF of Fractions 5902/552,9791/4977 is 1/915768

Least Common Multiple of 552,4977 with GCF Formula

Least Common Multiple of 552,4977 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 552,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,4977) = 3

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

GCF(552,4977) x common factors =3 x 1 = 3

LCM(552,4977) = ( 552 × 4977 ) / 3

LCM(552,4977) = 2747304 / 3

LCM(552,4977) = 915768


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 5902/552, 9791/4977

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 5902/552, 9791/4977?

Answer: GCF of Numerators as per given numbers 5902/552, 9791/4977 is

GCF of Numerators i.e. for 5902,9791 is 1

LCM of denominators i.e. for 552,4977 is 915768.

Thus, GCF of Fractions is 1/915768.Finally, GCF of Fractions for 5902/552, 9791/4977 is 1/915768.