Greatest Common Factor of 34/23, 721/75, 218/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/23, 721/75, 218/596

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 34/23,721/75,218/596

Given fractions are 34/23,721/75,218/596

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 34,721,218

Greatest Common Factor of Numerators i.e. GCF of 34,721,218 is 1 .

LCM of Denominators means LCM of 23,75,596 as per the given fractions.

LCM of 23,75,596 is 1028100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,721,218

GCF of Fractions 34/23,721/75,218/596 is 1/1028100

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

Greatest Common Factor of 34,721,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,721,218 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 34,721,218 . The biggest common factor number is the GCF number.
So the greatest common factor 34,721,218 is 1.

Lets's calculate LCM of 23,75,596

Given numbers has no common factors except 1. So, there LCM is their product i.e 1028100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1028100

Therefore, the GCF of Fractions 34/23,721/75,218/596 is 1/1028100

Least Common Multiple of 23,75,596 with GCF Formula

Least Common Multiple of 23,75,596 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 23,75,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,75,596) = 1

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

GCF(23,75,596) x common factors =1 x 1 = 1

LCM(23,75,596) = ( 23 × 75 × 596 ) / 1

LCM(23,75,596) = 1028100 / 1

LCM(23,75,596) = 1028100


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 34/23, 721/75, 218/596

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 34/23, 721/75, 218/596?

Answer: GCF of Numerators as per given numbers 34/23, 721/75, 218/596 is

GCF of Numerators i.e. for 34,721,218 is 1

LCM of denominators i.e. for 23,75,596 is 1028100.

Thus, GCF of Fractions is 1/1028100.Finally, GCF of Fractions for 34/23, 721/75, 218/596 is 1/1028100.