Greatest Common Factor of 149/49, 356/75, 307/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/49, 356/75, 307/576

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 149/49,356/75,307/576

Given fractions are 149/49,356/75,307/576

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 149,356,307

Greatest Common Factor of Numerators i.e. GCF of 149,356,307 is 1 .

LCM of Denominators means LCM of 49,75,576 as per the given fractions.

LCM of 49,75,576 is 705600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,356,307

GCF of Fractions 149/49,356/75,307/576 is 1/705600

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

Greatest Common Factor of 149,356,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,356,307 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 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 149,356,307 . The biggest common factor number is the GCF number.
So the greatest common factor 149,356,307 is 1.

Lets's calculate LCM of 49,75,576

3 49, 75, 576
49, 25, 192

∴ So the LCM of the given numbers is 3 x 49 x 25 x 192 = 705600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705600

Therefore, the GCF of Fractions 149/49,356/75,307/576 is 1/705600

Least Common Multiple of 49,75,576 with GCF Formula

Least Common Multiple of 49,75,576 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 49,75,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,75,576) = 1

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

GCF(49,75,576) x common factors =1 x 3 = 3

LCM(49,75,576) = ( 49 × 75 × 576 ) / 3

LCM(49,75,576) = 2116800 / 3

LCM(49,75,576) = 705600


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 149/49, 356/75, 307/576

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 149/49, 356/75, 307/576?

Answer: GCF of Numerators as per given numbers 149/49, 356/75, 307/576 is

GCF of Numerators i.e. for 149,356,307 is 1

LCM of denominators i.e. for 49,75,576 is 705600.

Thus, GCF of Fractions is 1/705600.Finally, GCF of Fractions for 149/49, 356/75, 307/576 is 1/705600.