Greatest Common Factor of 15/200, 638/704, 160/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/200, 638/704, 160/902

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 15/200,638/704,160/902

Given fractions are 15/200,638/704,160/902

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 15,638,160

Greatest Common Factor of Numerators i.e. GCF of 15,638,160 is 1 .

LCM of Denominators means LCM of 200,704,902 as per the given fractions.

LCM of 200,704,902 is 721600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,638,160

GCF of Fractions 15/200,638/704,160/902 is 1/721600

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

Greatest Common Factor of 15,638,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,638,160 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 15,638,160 . The biggest common factor number is the GCF number.
So the greatest common factor 15,638,160 is 1.

Lets's calculate LCM of 200,704,902

2 200, 704, 902
2 100, 352, 451
2 50, 176, 451
11 25, 88, 451
25, 8, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 25 x 8 x 41 = 721600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/721600

Therefore, the GCF of Fractions 15/200,638/704,160/902 is 1/721600

Least Common Multiple of 200,704,902 with GCF Formula

Least Common Multiple of 200,704,902 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 200,704,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,704,902) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(200,704,902) x common factors =2 x 88 = 176

LCM(200,704,902) = ( 200 × 704 × 902 ) / 176

LCM(200,704,902) = 127001600 / 176

LCM(200,704,902) = 721600


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 15/200, 638/704, 160/902

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 15/200, 638/704, 160/902?

Answer: GCF of Numerators as per given numbers 15/200, 638/704, 160/902 is

GCF of Numerators i.e. for 15,638,160 is 1

LCM of denominators i.e. for 200,704,902 is 721600.

Thus, GCF of Fractions is 1/721600.Finally, GCF of Fractions for 15/200, 638/704, 160/902 is 1/721600.