Greatest Common Factor of 3924/806, 4870/5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3924/806, 4870/5122

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 3924/806,4870/5122

Given fractions are 3924/806,4870/5122

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 3924,4870

Greatest Common Factor of Numerators i.e. GCF of 3924,4870 is 2 .

LCM of Denominators means LCM of 806,5122 as per the given fractions.

LCM of 806,5122 is 158782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3924,4870

GCF of Fractions 3924/806,4870/5122 is 2/158782

2 3924, 4870
1962, 2435

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3924,4870 By Matching Biggest Common Factor Method

Greatest Common Factor of 3924,4870 By Matching Biggest Common Factor Method

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Factors of 4870

List of positive integer factors of 4870 that divides 4870 without a remainder.

1,2,5,10,487,974,2435,4870

Greatest Common Factor

We found the factors 3924,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 3924,4870 is 2.

Lets's calculate LCM of 806,5122

2 806, 5122
13 403, 2561
31, 197

∴ So the LCM of the given numbers is 2 x 13 x 31 x 197 = 158782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158782

Therefore, the GCF of Fractions 3924/806,4870/5122 is 2/158782

Least Common Multiple of 806,5122 with GCF Formula

Least Common Multiple of 806,5122 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 806,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,5122) = 26

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

GCF(806,5122) x common factors =26 x 1 = 26

LCM(806,5122) = ( 806 × 5122 ) / 26

LCM(806,5122) = 4128332 / 26

LCM(806,5122) = 158782


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 3924/806, 4870/5122

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 3924/806, 4870/5122?

Answer: GCF of Numerators as per given numbers 3924/806, 4870/5122 is

GCF of Numerators i.e. for 3924,4870 is 2

LCM of denominators i.e. for 806,5122 is 158782.

Thus, GCF of Fractions is 2/158782.Finally, GCF of Fractions for 3924/806, 4870/5122 is 2/158782.