Greatest Common Factor of 149/678, 6999/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/678, 6999/182

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 149/678,6999/182

Given fractions are 149/678,6999/182

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 149,6999

Greatest Common Factor of Numerators i.e. GCF of 149,6999 is 1 .

LCM of Denominators means LCM of 678,182 as per the given fractions.

LCM of 678,182 is 61698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,6999

GCF of Fractions 149/678,6999/182 is 1/61698

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

Greatest Common Factor of 149,6999 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,6999 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 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1,3,2333,6999

Greatest Common Factor

We found the factors 149,6999 . The biggest common factor number is the GCF number.
So the greatest common factor 149,6999 is 1.

Lets's calculate LCM of 678,182

2 678, 182
339, 91

∴ So the LCM of the given numbers is 2 x 339 x 91 = 61698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61698

Therefore, the GCF of Fractions 149/678,6999/182 is 1/61698

Least Common Multiple of 678,182 with GCF Formula

Least Common Multiple of 678,182 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 678,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,182) = 2

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

GCF(678,182) x common factors =2 x 1 = 2

LCM(678,182) = ( 678 × 182 ) / 2

LCM(678,182) = 123396 / 2

LCM(678,182) = 61698


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 149/678, 6999/182

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 149/678, 6999/182?

Answer: GCF of Numerators as per given numbers 149/678, 6999/182 is

GCF of Numerators i.e. for 149,6999 is 1

LCM of denominators i.e. for 678,182 is 61698.

Thus, GCF of Fractions is 1/61698.Finally, GCF of Fractions for 149/678, 6999/182 is 1/61698.