Greatest Common Factor of 42/365, 72/568, 518/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/365, 72/568, 518/896

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 42/365,72/568,518/896

Given fractions are 42/365,72/568,518/896

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 42,72,518

Greatest Common Factor of Numerators i.e. GCF of 42,72,518 is 2 .

LCM of Denominators means LCM of 365,568,896 as per the given fractions.

LCM of 365,568,896 is 23219840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,72,518

GCF of Fractions 42/365,72/568,518/896 is 2/23219840

2 42, 72, 518
21, 36, 259

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

Greatest Common Factor of 42,72,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,72,518 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 42,72,518 . The biggest common factor number is the GCF number.
So the greatest common factor 42,72,518 is 2.

Lets's calculate LCM of 365,568,896

2 365, 568, 896
2 365, 284, 448
2 365, 142, 224
365, 71, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 365 x 71 x 112 = 23219840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23219840

Therefore, the GCF of Fractions 42/365,72/568,518/896 is 2/23219840

Least Common Multiple of 365,568,896 with GCF Formula

Least Common Multiple of 365,568,896 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 365,568,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,568,896) = 1

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

GCF(365,568,896) x common factors =1 x 8 = 8

LCM(365,568,896) = ( 365 × 568 × 896 ) / 8

LCM(365,568,896) = 185758720 / 8

LCM(365,568,896) = 23219840


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 42/365, 72/568, 518/896

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 42/365, 72/568, 518/896?

Answer: GCF of Numerators as per given numbers 42/365, 72/568, 518/896 is

GCF of Numerators i.e. for 42,72,518 is 2

LCM of denominators i.e. for 365,568,896 is 23219840.

Thus, GCF of Fractions is 2/23219840.Finally, GCF of Fractions for 42/365, 72/568, 518/896 is 2/23219840.