Greatest Common Factor of 149/542, 5752/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/542, 5752/305

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 149/542,5752/305

Given fractions are 149/542,5752/305

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 149,5752

Greatest Common Factor of Numerators i.e. GCF of 149,5752 is 1 .

LCM of Denominators means LCM of 542,305 as per the given fractions.

LCM of 542,305 is 165310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,5752

GCF of Fractions 149/542,5752/305 is 1/165310

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

Greatest Common Factor of 149,5752 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,5752 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 5752

List of positive integer factors of 5752 that divides 5752 without a remainder.

1,2,4,8,719,1438,2876,5752

Greatest Common Factor

We found the factors 149,5752 . The biggest common factor number is the GCF number.
So the greatest common factor 149,5752 is 1.

Lets's calculate LCM of 542,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 165310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165310

Therefore, the GCF of Fractions 149/542,5752/305 is 1/165310

Least Common Multiple of 542,305 with GCF Formula

Least Common Multiple of 542,305 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 542,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,305) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(542,305) x common factors =1 x 1 = 1

LCM(542,305) = ( 542 × 305 ) / 1

LCM(542,305) = 165310 / 1

LCM(542,305) = 165310


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 149/542, 5752/305

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 149/542, 5752/305?

Answer: GCF of Numerators as per given numbers 149/542, 5752/305 is

GCF of Numerators i.e. for 149,5752 is 1

LCM of denominators i.e. for 542,305 is 165310.

Thus, GCF of Fractions is 1/165310.Finally, GCF of Fractions for 149/542, 5752/305 is 1/165310.