Greatest Common Factor of 72/519, 206/499, 532/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/519, 206/499, 532/366

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 72/519,206/499,532/366

Given fractions are 72/519,206/499,532/366

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 72,206,532

Greatest Common Factor of Numerators i.e. GCF of 72,206,532 is 2 .

LCM of Denominators means LCM of 519,499,366 as per the given fractions.

LCM of 519,499,366 is 31595682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,206,532

GCF of Fractions 72/519,206/499,532/366 is 2/31595682

2 72, 206, 532
36, 103, 266

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

Greatest Common Factor of 72,206,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,206,532 By Matching Biggest Common Factor Method

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 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 72,206,532 . The biggest common factor number is the GCF number.
So the greatest common factor 72,206,532 is 2.

Lets's calculate LCM of 519,499,366

3 519, 499, 366
173, 499, 122

∴ So the LCM of the given numbers is 3 x 173 x 499 x 122 = 31595682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31595682

Therefore, the GCF of Fractions 72/519,206/499,532/366 is 2/31595682

Least Common Multiple of 519,499,366 with GCF Formula

Least Common Multiple of 519,499,366 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 519,499,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,499,366) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(519,499,366) x common factors =1 x 3 = 3

LCM(519,499,366) = ( 519 × 499 × 366 ) / 3

LCM(519,499,366) = 94787046 / 3

LCM(519,499,366) = 31595682


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 72/519, 206/499, 532/366

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 72/519, 206/499, 532/366?

Answer: GCF of Numerators as per given numbers 72/519, 206/499, 532/366 is

GCF of Numerators i.e. for 72,206,532 is 2

LCM of denominators i.e. for 519,499,366 is 31595682.

Thus, GCF of Fractions is 2/31595682.Finally, GCF of Fractions for 72/519, 206/499, 532/366 is 2/31595682.