Greatest Common Factor of 506/247, 4002/9108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/247, 4002/9108

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 506/247,4002/9108

Given fractions are 506/247,4002/9108

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 506,4002

Greatest Common Factor of Numerators i.e. GCF of 506,4002 is 46 .

LCM of Denominators means LCM of 247,9108 as per the given fractions.

LCM of 247,9108 is 2249676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,4002

GCF of Fractions 506/247,4002/9108 is 46/2249676

2 506, 4002
23 253, 2001
11, 87

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 506,4002 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,4002 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Greatest Common Factor

We found the factors 506,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 506,4002 is 46.

Lets's calculate LCM of 247,9108

Given numbers has no common factors except 1. So, there LCM is their product i.e 2249676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2249676

Therefore, the GCF of Fractions 506/247,4002/9108 is 46/2249676

Least Common Multiple of 247,9108 with GCF Formula

Least Common Multiple of 247,9108 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 247,9108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,9108) = 1

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

GCF(247,9108) x common factors =1 x 1 = 1

LCM(247,9108) = ( 247 × 9108 ) / 1

LCM(247,9108) = 2249676 / 1

LCM(247,9108) = 2249676


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 506/247, 4002/9108

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 506/247, 4002/9108?

Answer: GCF of Numerators as per given numbers 506/247, 4002/9108 is

GCF of Numerators i.e. for 506,4002 is 46

LCM of denominators i.e. for 247,9108 is 2249676.

Thus, GCF of Fractions is 46/2249676.Finally, GCF of Fractions for 506/247, 4002/9108 is 46/2249676.