Greatest Common Factor of 1194/59, 3228/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1194/59, 3228/289

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 1194/59,3228/289

Given fractions are 1194/59,3228/289

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 1194,3228

Greatest Common Factor of Numerators i.e. GCF of 1194,3228 is 6 .

LCM of Denominators means LCM of 59,289 as per the given fractions.

LCM of 59,289 is 17051 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1194,3228

GCF of Fractions 1194/59,3228/289 is 6/17051

2 1194, 3228
3 597, 1614
199, 538

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1194,3228 By Matching Biggest Common Factor Method

Greatest Common Factor of 1194,3228 By Matching Biggest Common Factor Method

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1,2,3,6,199,398,597,1194

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

Greatest Common Factor

We found the factors 1194,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 1194,3228 is 6.

Lets's calculate LCM of 59,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 17051

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/17051

Therefore, the GCF of Fractions 1194/59,3228/289 is 6/17051

Least Common Multiple of 59,289 with GCF Formula

Least Common Multiple of 59,289 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 59,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,289) = 1

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

GCF(59,289) x common factors =1 x 1 = 1

LCM(59,289) = ( 59 × 289 ) / 1

LCM(59,289) = 17051 / 1

LCM(59,289) = 17051


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 1194/59, 3228/289

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 1194/59, 3228/289?

Answer: GCF of Numerators as per given numbers 1194/59, 3228/289 is

GCF of Numerators i.e. for 1194,3228 is 6

LCM of denominators i.e. for 59,289 is 17051.

Thus, GCF of Fractions is 6/17051.Finally, GCF of Fractions for 1194/59, 3228/289 is 6/17051.