Greatest Common Factor of 149/969, 173/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/969, 173/815

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 149/969,173/815

Given fractions are 149/969,173/815

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 149,173

Greatest Common Factor of Numerators i.e. GCF of 149,173 is 1 .

LCM of Denominators means LCM of 969,815 as per the given fractions.

LCM of 969,815 is 789735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,173

GCF of Fractions 149/969,173/815 is 1/789735

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

Greatest Common Factor of 149,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,173 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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 149,173 . The biggest common factor number is the GCF number.
So the greatest common factor 149,173 is 1.

Lets's calculate LCM of 969,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 789735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789735

Therefore, the GCF of Fractions 149/969,173/815 is 1/789735

Least Common Multiple of 969,815 with GCF Formula

Least Common Multiple of 969,815 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 969,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,815) = 1

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

GCF(969,815) x common factors =1 x 1 = 1

LCM(969,815) = ( 969 × 815 ) / 1

LCM(969,815) = 789735 / 1

LCM(969,815) = 789735


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 149/969, 173/815

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 149/969, 173/815?

Answer: GCF of Numerators as per given numbers 149/969, 173/815 is

GCF of Numerators i.e. for 149,173 is 1

LCM of denominators i.e. for 969,815 is 789735.

Thus, GCF of Fractions is 1/789735.Finally, GCF of Fractions for 149/969, 173/815 is 1/789735.