Greatest Common Factor of 689/738, 5914/8187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/738, 5914/8187

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 689/738,5914/8187

Given fractions are 689/738,5914/8187

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 689,5914

Greatest Common Factor of Numerators i.e. GCF of 689,5914 is 1 .

LCM of Denominators means LCM of 738,8187 as per the given fractions.

LCM of 738,8187 is 2014002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,5914

GCF of Fractions 689/738,5914/8187 is 1/2014002

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

Greatest Common Factor of 689,5914 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,5914 By Matching Biggest Common Factor Method

Factors of 689

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

1,13,53,689

Factors of 5914

List of positive integer factors of 5914 that divides 5914 without a remainder.

1,2,2957,5914

Greatest Common Factor

We found the factors 689,5914 . The biggest common factor number is the GCF number.
So the greatest common factor 689,5914 is 1.

Lets's calculate LCM of 738,8187

3 738, 8187
246, 2729

∴ So the LCM of the given numbers is 3 x 246 x 2729 = 2014002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2014002

Therefore, the GCF of Fractions 689/738,5914/8187 is 1/2014002

Least Common Multiple of 738,8187 with GCF Formula

Least Common Multiple of 738,8187 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 738,8187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,8187) = 3

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

GCF(738,8187) x common factors =3 x 1 = 3

LCM(738,8187) = ( 738 × 8187 ) / 3

LCM(738,8187) = 6042006 / 3

LCM(738,8187) = 2014002


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 689/738, 5914/8187

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 689/738, 5914/8187?

Answer: GCF of Numerators as per given numbers 689/738, 5914/8187 is

GCF of Numerators i.e. for 689,5914 is 1

LCM of denominators i.e. for 738,8187 is 2014002.

Thus, GCF of Fractions is 1/2014002.Finally, GCF of Fractions for 689/738, 5914/8187 is 1/2014002.