Greatest Common Factor of 578/43, 517/32, 174/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/43, 517/32, 174/21

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 578/43,517/32,174/21

Given fractions are 578/43,517/32,174/21

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 578,517,174

Greatest Common Factor of Numerators i.e. GCF of 578,517,174 is 1 .

LCM of Denominators means LCM of 43,32,21 as per the given fractions.

LCM of 43,32,21 is 28896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,517,174

GCF of Fractions 578/43,517/32,174/21 is 1/28896

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

Greatest Common Factor of 578,517,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,517,174 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 578,517,174 . The biggest common factor number is the GCF number.
So the greatest common factor 578,517,174 is 1.

Lets's calculate LCM of 43,32,21

Given numbers has no common factors except 1. So, there LCM is their product i.e 28896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28896

Therefore, the GCF of Fractions 578/43,517/32,174/21 is 1/28896

Least Common Multiple of 43,32,21 with GCF Formula

Least Common Multiple of 43,32,21 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 43,32,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,32,21) = 1

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

GCF(43,32,21) x common factors =1 x 1 = 1

LCM(43,32,21) = ( 43 × 32 × 21 ) / 1

LCM(43,32,21) = 28896 / 1

LCM(43,32,21) = 28896


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 578/43, 517/32, 174/21

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 578/43, 517/32, 174/21?

Answer: GCF of Numerators as per given numbers 578/43, 517/32, 174/21 is

GCF of Numerators i.e. for 578,517,174 is 1

LCM of denominators i.e. for 43,32,21 is 28896.

Thus, GCF of Fractions is 1/28896.Finally, GCF of Fractions for 578/43, 517/32, 174/21 is 1/28896.