Greatest Common Factor of 3229/156, 2089/1160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3229/156, 2089/1160

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 3229/156,2089/1160

Given fractions are 3229/156,2089/1160

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 3229,2089

Greatest Common Factor of Numerators i.e. GCF of 3229,2089 is 1 .

LCM of Denominators means LCM of 156,1160 as per the given fractions.

LCM of 156,1160 is 45240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3229,2089

GCF of Fractions 3229/156,2089/1160 is 1/45240

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

Greatest Common Factor of 3229,2089 By Matching Biggest Common Factor Method

Greatest Common Factor of 3229,2089 By Matching Biggest Common Factor Method

Factors of 3229

List of positive integer factors of 3229 that divides 3229 without a remainder.

1,3229

Factors of 2089

List of positive integer factors of 2089 that divides 2089 without a remainder.

1,2089

Greatest Common Factor

We found the factors 3229,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 3229,2089 is 1.

Lets's calculate LCM of 156,1160

2 156, 1160
2 78, 580
39, 290

∴ So the LCM of the given numbers is 2 x 2 x 39 x 290 = 45240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45240

Therefore, the GCF of Fractions 3229/156,2089/1160 is 1/45240

Least Common Multiple of 156,1160 with GCF Formula

Least Common Multiple of 156,1160 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 156,1160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,1160) = 4

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

GCF(156,1160) x common factors =4 x 1 = 4

LCM(156,1160) = ( 156 × 1160 ) / 4

LCM(156,1160) = 180960 / 4

LCM(156,1160) = 45240


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 3229/156, 2089/1160

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 3229/156, 2089/1160?

Answer: GCF of Numerators as per given numbers 3229/156, 2089/1160 is

GCF of Numerators i.e. for 3229,2089 is 1

LCM of denominators i.e. for 156,1160 is 45240.

Thus, GCF of Fractions is 1/45240.Finally, GCF of Fractions for 3229/156, 2089/1160 is 1/45240.