Greatest Common Factor of 589/160, 847/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 589/160, 847/149

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 589/160,847/149

Given fractions are 589/160,847/149

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 589,847

Greatest Common Factor of Numerators i.e. GCF of 589,847 is 1 .

LCM of Denominators means LCM of 160,149 as per the given fractions.

LCM of 160,149 is 23840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,847

GCF of Fractions 589/160,847/149 is 1/23840

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

Greatest Common Factor of 589,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,847 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 589,847 . The biggest common factor number is the GCF number.
So the greatest common factor 589,847 is 1.

Lets's calculate LCM of 160,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 23840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23840

Therefore, the GCF of Fractions 589/160,847/149 is 1/23840

Least Common Multiple of 160,149 with GCF Formula

Least Common Multiple of 160,149 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 160,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,149) = 1

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

GCF(160,149) x common factors =1 x 1 = 1

LCM(160,149) = ( 160 × 149 ) / 1

LCM(160,149) = 23840 / 1

LCM(160,149) = 23840


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 589/160, 847/149

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 589/160, 847/149?

Answer: GCF of Numerators as per given numbers 589/160, 847/149 is

GCF of Numerators i.e. for 589,847 is 1

LCM of denominators i.e. for 160,149 is 23840.

Thus, GCF of Fractions is 1/23840.Finally, GCF of Fractions for 589/160, 847/149 is 1/23840.