Greatest Common Factor of 634/15, 689/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/15, 689/149

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 634/15,689/149

Given fractions are 634/15,689/149

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 634,689

Greatest Common Factor of Numerators i.e. GCF of 634,689 is 1 .

LCM of Denominators means LCM of 15,149 as per the given fractions.

LCM of 15,149 is 2235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,689

GCF of Fractions 634/15,689/149 is 1/2235

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

Greatest Common Factor of 634,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,689 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 634,689 . The biggest common factor number is the GCF number.
So the greatest common factor 634,689 is 1.

Lets's calculate LCM of 15,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 2235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2235

Therefore, the GCF of Fractions 634/15,689/149 is 1/2235

Least Common Multiple of 15,149 with GCF Formula

Least Common Multiple of 15,149 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 15,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,149) = 1

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

GCF(15,149) x common factors =1 x 1 = 1

LCM(15,149) = ( 15 × 149 ) / 1

LCM(15,149) = 2235 / 1

LCM(15,149) = 2235


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 634/15, 689/149

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 634/15, 689/149?

Answer: GCF of Numerators as per given numbers 634/15, 689/149 is

GCF of Numerators i.e. for 634,689 is 1

LCM of denominators i.e. for 15,149 is 2235.

Thus, GCF of Fractions is 1/2235.Finally, GCF of Fractions for 634/15, 689/149 is 1/2235.