Greatest Common Factor of 149/54, 157/33, 911/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/54, 157/33, 911/252

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 149/54,157/33,911/252

Given fractions are 149/54,157/33,911/252

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 149,157,911

Greatest Common Factor of Numerators i.e. GCF of 149,157,911 is 1 .

LCM of Denominators means LCM of 54,33,252 as per the given fractions.

LCM of 54,33,252 is 8316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,157,911

GCF of Fractions 149/54,157/33,911/252 is 1/8316

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

Greatest Common Factor of 149,157,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,157,911 By Matching Biggest Common Factor Method

Factors of 149

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

1,149

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 149,157,911 . The biggest common factor number is the GCF number.
So the greatest common factor 149,157,911 is 1.

Lets's calculate LCM of 54,33,252

2 54, 33, 252
3 27, 33, 126
3 9, 11, 42
3, 11, 14

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 14 = 8316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8316

Therefore, the GCF of Fractions 149/54,157/33,911/252 is 1/8316

Least Common Multiple of 54,33,252 with GCF Formula

Least Common Multiple of 54,33,252 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 54,33,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,33,252) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(54,33,252) x common factors =3 x 18 = 54

LCM(54,33,252) = ( 54 × 33 × 252 ) / 54

LCM(54,33,252) = 449064 / 54

LCM(54,33,252) = 8316


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 149/54, 157/33, 911/252

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 149/54, 157/33, 911/252?

Answer: GCF of Numerators as per given numbers 149/54, 157/33, 911/252 is

GCF of Numerators i.e. for 149,157,911 is 1

LCM of denominators i.e. for 54,33,252 is 8316.

Thus, GCF of Fractions is 1/8316.Finally, GCF of Fractions for 149/54, 157/33, 911/252 is 1/8316.