Greatest Common Factor of 738/37, 612/28, 149/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/37, 612/28, 149/91

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 738/37,612/28,149/91

Given fractions are 738/37,612/28,149/91

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 738,612,149

Greatest Common Factor of Numerators i.e. GCF of 738,612,149 is 1 .

LCM of Denominators means LCM of 37,28,91 as per the given fractions.

LCM of 37,28,91 is 13468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,612,149

GCF of Fractions 738/37,612/28,149/91 is 1/13468

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

Greatest Common Factor of 738,612,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,612,149 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 738,612,149 . The biggest common factor number is the GCF number.
So the greatest common factor 738,612,149 is 1.

Lets's calculate LCM of 37,28,91

7 37, 28, 91
37, 4, 13

∴ So the LCM of the given numbers is 7 x 37 x 4 x 13 = 13468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13468

Therefore, the GCF of Fractions 738/37,612/28,149/91 is 1/13468

Least Common Multiple of 37,28,91 with GCF Formula

Least Common Multiple of 37,28,91 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 37,28,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,28,91) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(37,28,91) x common factors =1 x 7 = 7

LCM(37,28,91) = ( 37 × 28 × 91 ) / 7

LCM(37,28,91) = 94276 / 7

LCM(37,28,91) = 13468


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 738/37, 612/28, 149/91

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 738/37, 612/28, 149/91?

Answer: GCF of Numerators as per given numbers 738/37, 612/28, 149/91 is

GCF of Numerators i.e. for 738,612,149 is 1

LCM of denominators i.e. for 37,28,91 is 13468.

Thus, GCF of Fractions is 1/13468.Finally, GCF of Fractions for 738/37, 612/28, 149/91 is 1/13468.