Greatest Common Factor of 577/28, 133/21, 723/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 577/28, 133/21, 723/75

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 577/28,133/21,723/75

Given fractions are 577/28,133/21,723/75

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 577,133,723

Greatest Common Factor of Numerators i.e. GCF of 577,133,723 is 1 .

LCM of Denominators means LCM of 28,21,75 as per the given fractions.

LCM of 28,21,75 is 2100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 577,133,723

GCF of Fractions 577/28,133/21,723/75 is 1/2100

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

Greatest Common Factor of 577,133,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,133,723 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 577,133,723 . The biggest common factor number is the GCF number.
So the greatest common factor 577,133,723 is 1.

Lets's calculate LCM of 28,21,75

3 28, 21, 75
7 28, 7, 25
4, 1, 25

∴ So the LCM of the given numbers is 3 x 7 x 4 x 1 x 25 = 2100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2100

Therefore, the GCF of Fractions 577/28,133/21,723/75 is 1/2100

Least Common Multiple of 28,21,75 with GCF Formula

Least Common Multiple of 28,21,75 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 28,21,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,21,75) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(28,21,75) x common factors =1 x 21 = 21

LCM(28,21,75) = ( 28 × 21 × 75 ) / 21

LCM(28,21,75) = 44100 / 21

LCM(28,21,75) = 2100


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 577/28, 133/21, 723/75

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 577/28, 133/21, 723/75?

Answer: GCF of Numerators as per given numbers 577/28, 133/21, 723/75 is

GCF of Numerators i.e. for 577,133,723 is 1

LCM of denominators i.e. for 28,21,75 is 2100.

Thus, GCF of Fractions is 1/2100.Finally, GCF of Fractions for 577/28, 133/21, 723/75 is 1/2100.