Greatest Common Factor of 594/71, 891/24, 934/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/71, 891/24, 934/89

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 594/71,891/24,934/89

Given fractions are 594/71,891/24,934/89

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 594,891,934

Greatest Common Factor of Numerators i.e. GCF of 594,891,934 is 1 .

LCM of Denominators means LCM of 71,24,89 as per the given fractions.

LCM of 71,24,89 is 151656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,891,934

GCF of Fractions 594/71,891/24,934/89 is 1/151656

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

Greatest Common Factor of 594,891,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,891,934 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 594,891,934 . The biggest common factor number is the GCF number.
So the greatest common factor 594,891,934 is 1.

Lets's calculate LCM of 71,24,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 151656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151656

Therefore, the GCF of Fractions 594/71,891/24,934/89 is 1/151656

Least Common Multiple of 71,24,89 with GCF Formula

Least Common Multiple of 71,24,89 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 71,24,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,24,89) = 1

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

GCF(71,24,89) x common factors =1 x 1 = 1

LCM(71,24,89) = ( 71 × 24 × 89 ) / 1

LCM(71,24,89) = 151656 / 1

LCM(71,24,89) = 151656


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 594/71, 891/24, 934/89

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 594/71, 891/24, 934/89?

Answer: GCF of Numerators as per given numbers 594/71, 891/24, 934/89 is

GCF of Numerators i.e. for 594,891,934 is 1

LCM of denominators i.e. for 71,24,89 is 151656.

Thus, GCF of Fractions is 1/151656.Finally, GCF of Fractions for 594/71, 891/24, 934/89 is 1/151656.