Greatest Common Factor of 725/75, 855/74, 330/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/75, 855/74, 330/534

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 725/75,855/74,330/534

Given fractions are 725/75,855/74,330/534

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 725,855,330

Greatest Common Factor of Numerators i.e. GCF of 725,855,330 is 5 .

LCM of Denominators means LCM of 75,74,534 as per the given fractions.

LCM of 75,74,534 is 493950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,855,330

GCF of Fractions 725/75,855/74,330/534 is 5/493950

5 725, 855, 330
145, 171, 66

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 725,855,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,855,330 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 725,855,330 . The biggest common factor number is the GCF number.
So the greatest common factor 725,855,330 is 5.

Lets's calculate LCM of 75,74,534

2 75, 74, 534
3 75, 37, 267
25, 37, 89

∴ So the LCM of the given numbers is 2 x 3 x 25 x 37 x 89 = 493950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/493950

Therefore, the GCF of Fractions 725/75,855/74,330/534 is 5/493950

Least Common Multiple of 75,74,534 with GCF Formula

Least Common Multiple of 75,74,534 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 75,74,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,74,534) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,74,534) x common factors =1 x 6 = 6

LCM(75,74,534) = ( 75 × 74 × 534 ) / 6

LCM(75,74,534) = 2963700 / 6

LCM(75,74,534) = 493950


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 725/75, 855/74, 330/534

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 725/75, 855/74, 330/534?

Answer: GCF of Numerators as per given numbers 725/75, 855/74, 330/534 is

GCF of Numerators i.e. for 725,855,330 is 5

LCM of denominators i.e. for 75,74,534 is 493950.

Thus, GCF of Fractions is 5/493950.Finally, GCF of Fractions for 725/75, 855/74, 330/534 is 5/493950.