Greatest Common Factor of 567/725, 668/112, 542/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 567/725, 668/112, 542/825

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 567/725,668/112,542/825

Given fractions are 567/725,668/112,542/825

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 567,668,542

Greatest Common Factor of Numerators i.e. GCF of 567,668,542 is 1 .

LCM of Denominators means LCM of 725,112,825 as per the given fractions.

LCM of 725,112,825 is 2679600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 567,668,542

GCF of Fractions 567/725,668/112,542/825 is 1/2679600

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

Greatest Common Factor of 567,668,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,668,542 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 567,668,542 . The biggest common factor number is the GCF number.
So the greatest common factor 567,668,542 is 1.

Lets's calculate LCM of 725,112,825

5 725, 112, 825
5 145, 112, 165
29, 112, 33

∴ So the LCM of the given numbers is 5 x 5 x 29 x 112 x 33 = 2679600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2679600

Therefore, the GCF of Fractions 567/725,668/112,542/825 is 1/2679600

Least Common Multiple of 725,112,825 with GCF Formula

Least Common Multiple of 725,112,825 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 725,112,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,112,825) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(725,112,825) x common factors =1 x 25 = 25

LCM(725,112,825) = ( 725 × 112 × 825 ) / 25

LCM(725,112,825) = 66990000 / 25

LCM(725,112,825) = 2679600


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 567/725, 668/112, 542/825

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 567/725, 668/112, 542/825?

Answer: GCF of Numerators as per given numbers 567/725, 668/112, 542/825 is

GCF of Numerators i.e. for 567,668,542 is 1

LCM of denominators i.e. for 725,112,825 is 2679600.

Thus, GCF of Fractions is 1/2679600.Finally, GCF of Fractions for 567/725, 668/112, 542/825 is 1/2679600.