Greatest Common Factor of 728/82, 572/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/82, 572/210

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 728/82,572/210

Given fractions are 728/82,572/210

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 728,572

Greatest Common Factor of Numerators i.e. GCF of 728,572 is 52 .

LCM of Denominators means LCM of 82,210 as per the given fractions.

LCM of 82,210 is 8610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,572

GCF of Fractions 728/82,572/210 is 52/8610

2 728, 572
2 364, 286
13 182, 143
14, 11

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 728,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,572 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 728,572 . The biggest common factor number is the GCF number.
So the greatest common factor 728,572 is 52.

Lets's calculate LCM of 82,210

2 82, 210
41, 105

∴ So the LCM of the given numbers is 2 x 41 x 105 = 8610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/8610

Therefore, the GCF of Fractions 728/82,572/210 is 52/8610

Least Common Multiple of 82,210 with GCF Formula

Least Common Multiple of 82,210 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 82,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,210) = 2

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

GCF(82,210) x common factors =2 x 1 = 2

LCM(82,210) = ( 82 × 210 ) / 2

LCM(82,210) = 17220 / 2

LCM(82,210) = 8610


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 728/82, 572/210

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 728/82, 572/210?

Answer: GCF of Numerators as per given numbers 728/82, 572/210 is

GCF of Numerators i.e. for 728,572 is 52

LCM of denominators i.e. for 82,210 is 8610.

Thus, GCF of Fractions is 52/8610.Finally, GCF of Fractions for 728/82, 572/210 is 52/8610.