Greatest Common Factor of 174/37, 136/69, 464/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/37, 136/69, 464/54

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 174/37,136/69,464/54

Given fractions are 174/37,136/69,464/54

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 174,136,464

Greatest Common Factor of Numerators i.e. GCF of 174,136,464 is 2 .

LCM of Denominators means LCM of 37,69,54 as per the given fractions.

LCM of 37,69,54 is 45954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,136,464

GCF of Fractions 174/37,136/69,464/54 is 2/45954

2 174, 136, 464
87, 68, 232

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 174,136,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,136,464 By Matching Biggest Common Factor Method

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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 174,136,464 . The biggest common factor number is the GCF number.
So the greatest common factor 174,136,464 is 2.

Lets's calculate LCM of 37,69,54

3 37, 69, 54
37, 23, 18

∴ So the LCM of the given numbers is 3 x 37 x 23 x 18 = 45954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45954

Therefore, the GCF of Fractions 174/37,136/69,464/54 is 2/45954

Least Common Multiple of 37,69,54 with GCF Formula

Least Common Multiple of 37,69,54 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 37,69,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,69,54) = 1

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

GCF(37,69,54) x common factors =1 x 3 = 3

LCM(37,69,54) = ( 37 × 69 × 54 ) / 3

LCM(37,69,54) = 137862 / 3

LCM(37,69,54) = 45954


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 174/37, 136/69, 464/54

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 174/37, 136/69, 464/54?

Answer: GCF of Numerators as per given numbers 174/37, 136/69, 464/54 is

GCF of Numerators i.e. for 174,136,464 is 2

LCM of denominators i.e. for 37,69,54 is 45954.

Thus, GCF of Fractions is 2/45954.Finally, GCF of Fractions for 174/37, 136/69, 464/54 is 2/45954.