Greatest Common Factor of 175/78, 408/16, 725/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/78, 408/16, 725/82

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 175/78,408/16,725/82

Given fractions are 175/78,408/16,725/82

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 175,408,725

Greatest Common Factor of Numerators i.e. GCF of 175,408,725 is 1 .

LCM of Denominators means LCM of 78,16,82 as per the given fractions.

LCM of 78,16,82 is 25584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,408,725

GCF of Fractions 175/78,408/16,725/82 is 1/25584

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

Greatest Common Factor of 175,408,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,408,725 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 725

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

1,5,25,29,145,725

Greatest Common Factor

We found the factors 175,408,725 . The biggest common factor number is the GCF number.
So the greatest common factor 175,408,725 is 1.

Lets's calculate LCM of 78,16,82

2 78, 16, 82
39, 8, 41

∴ So the LCM of the given numbers is 2 x 39 x 8 x 41 = 25584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25584

Therefore, the GCF of Fractions 175/78,408/16,725/82 is 1/25584

Least Common Multiple of 78,16,82 with GCF Formula

Least Common Multiple of 78,16,82 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 78,16,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,16,82) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(78,16,82) x common factors =2 x 2 = 4

LCM(78,16,82) = ( 78 × 16 × 82 ) / 4

LCM(78,16,82) = 102336 / 4

LCM(78,16,82) = 25584


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 175/78, 408/16, 725/82

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 175/78, 408/16, 725/82?

Answer: GCF of Numerators as per given numbers 175/78, 408/16, 725/82 is

GCF of Numerators i.e. for 175,408,725 is 1

LCM of denominators i.e. for 78,16,82 is 25584.

Thus, GCF of Fractions is 1/25584.Finally, GCF of Fractions for 175/78, 408/16, 725/82 is 1/25584.