Greatest Common Factor of 312/73, 142/90, 359/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/73, 142/90, 359/69

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 312/73,142/90,359/69

Given fractions are 312/73,142/90,359/69

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 312,142,359

Greatest Common Factor of Numerators i.e. GCF of 312,142,359 is 1 .

LCM of Denominators means LCM of 73,90,69 as per the given fractions.

LCM of 73,90,69 is 151110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,142,359

GCF of Fractions 312/73,142/90,359/69 is 1/151110

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

Greatest Common Factor of 312,142,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,142,359 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 312,142,359 . The biggest common factor number is the GCF number.
So the greatest common factor 312,142,359 is 1.

Lets's calculate LCM of 73,90,69

3 73, 90, 69
73, 30, 23

∴ So the LCM of the given numbers is 3 x 73 x 30 x 23 = 151110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151110

Therefore, the GCF of Fractions 312/73,142/90,359/69 is 1/151110

Least Common Multiple of 73,90,69 with GCF Formula

Least Common Multiple of 73,90,69 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 73,90,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,90,69) = 1

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

GCF(73,90,69) x common factors =1 x 3 = 3

LCM(73,90,69) = ( 73 × 90 × 69 ) / 3

LCM(73,90,69) = 453330 / 3

LCM(73,90,69) = 151110


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 312/73, 142/90, 359/69

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 312/73, 142/90, 359/69?

Answer: GCF of Numerators as per given numbers 312/73, 142/90, 359/69 is

GCF of Numerators i.e. for 312,142,359 is 1

LCM of denominators i.e. for 73,90,69 is 151110.

Thus, GCF of Fractions is 1/151110.Finally, GCF of Fractions for 312/73, 142/90, 359/69 is 1/151110.