Greatest Common Factor of 49/508, 20/192, 735/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/508, 20/192, 735/424

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 49/508,20/192,735/424

Given fractions are 49/508,20/192,735/424

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 49,20,735

Greatest Common Factor of Numerators i.e. GCF of 49,20,735 is 1 .

LCM of Denominators means LCM of 508,192,424 as per the given fractions.

LCM of 508,192,424 is 1292352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,20,735

GCF of Fractions 49/508,20/192,735/424 is 1/1292352

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

Greatest Common Factor of 49,20,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,20,735 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 49,20,735 . The biggest common factor number is the GCF number.
So the greatest common factor 49,20,735 is 1.

Lets's calculate LCM of 508,192,424

2 508, 192, 424
2 254, 96, 212
2 127, 48, 106
127, 24, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 127 x 24 x 53 = 1292352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1292352

Therefore, the GCF of Fractions 49/508,20/192,735/424 is 1/1292352

Least Common Multiple of 508,192,424 with GCF Formula

Least Common Multiple of 508,192,424 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 508,192,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,192,424) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(508,192,424) x common factors =4 x 8 = 32

LCM(508,192,424) = ( 508 × 192 × 424 ) / 32

LCM(508,192,424) = 41355264 / 32

LCM(508,192,424) = 1292352


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 49/508, 20/192, 735/424

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 49/508, 20/192, 735/424?

Answer: GCF of Numerators as per given numbers 49/508, 20/192, 735/424 is

GCF of Numerators i.e. for 49,20,735 is 1

LCM of denominators i.e. for 508,192,424 is 1292352.

Thus, GCF of Fractions is 1/1292352.Finally, GCF of Fractions for 49/508, 20/192, 735/424 is 1/1292352.