Greatest Common Factor of 295/75, 174/69, 979/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 295/75, 174/69, 979/312

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 295/75,174/69,979/312

Given fractions are 295/75,174/69,979/312

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 295,174,979

Greatest Common Factor of Numerators i.e. GCF of 295,174,979 is 1 .

LCM of Denominators means LCM of 75,69,312 as per the given fractions.

LCM of 75,69,312 is 179400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,174,979

GCF of Fractions 295/75,174/69,979/312 is 1/179400

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

Greatest Common Factor of 295,174,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,174,979 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 295,174,979 . The biggest common factor number is the GCF number.
So the greatest common factor 295,174,979 is 1.

Lets's calculate LCM of 75,69,312

3 75, 69, 312
25, 23, 104

∴ So the LCM of the given numbers is 3 x 25 x 23 x 104 = 179400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179400

Therefore, the GCF of Fractions 295/75,174/69,979/312 is 1/179400

Least Common Multiple of 75,69,312 with GCF Formula

Least Common Multiple of 75,69,312 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 75,69,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,69,312) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(75,69,312) x common factors =3 x 3 = 9

LCM(75,69,312) = ( 75 × 69 × 312 ) / 9

LCM(75,69,312) = 1614600 / 9

LCM(75,69,312) = 179400


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 295/75, 174/69, 979/312

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 295/75, 174/69, 979/312?

Answer: GCF of Numerators as per given numbers 295/75, 174/69, 979/312 is

GCF of Numerators i.e. for 295,174,979 is 1

LCM of denominators i.e. for 75,69,312 is 179400.

Thus, GCF of Fractions is 1/179400.Finally, GCF of Fractions for 295/75, 174/69, 979/312 is 1/179400.