Greatest Common Factor of 302/93, 101/85, 900/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/93, 101/85, 900/123

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 302/93,101/85,900/123

Given fractions are 302/93,101/85,900/123

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 302,101,900

Greatest Common Factor of Numerators i.e. GCF of 302,101,900 is 1 .

LCM of Denominators means LCM of 93,85,123 as per the given fractions.

LCM of 93,85,123 is 324105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,101,900

GCF of Fractions 302/93,101/85,900/123 is 1/324105

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

Greatest Common Factor of 302,101,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,101,900 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 302,101,900 . The biggest common factor number is the GCF number.
So the greatest common factor 302,101,900 is 1.

Lets's calculate LCM of 93,85,123

3 93, 85, 123
31, 85, 41

∴ So the LCM of the given numbers is 3 x 31 x 85 x 41 = 324105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324105

Therefore, the GCF of Fractions 302/93,101/85,900/123 is 1/324105

Least Common Multiple of 93,85,123 with GCF Formula

Least Common Multiple of 93,85,123 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 93,85,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,85,123) = 1

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

GCF(93,85,123) x common factors =1 x 3 = 3

LCM(93,85,123) = ( 93 × 85 × 123 ) / 3

LCM(93,85,123) = 972315 / 3

LCM(93,85,123) = 324105


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 302/93, 101/85, 900/123

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 302/93, 101/85, 900/123?

Answer: GCF of Numerators as per given numbers 302/93, 101/85, 900/123 is

GCF of Numerators i.e. for 302,101,900 is 1

LCM of denominators i.e. for 93,85,123 is 324105.

Thus, GCF of Fractions is 1/324105.Finally, GCF of Fractions for 302/93, 101/85, 900/123 is 1/324105.