Greatest Common Factor of 34/23, 21/66, 308/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/23, 21/66, 308/24

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 34/23,21/66,308/24

Given fractions are 34/23,21/66,308/24

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 34,21,308

Greatest Common Factor of Numerators i.e. GCF of 34,21,308 is 1 .

LCM of Denominators means LCM of 23,66,24 as per the given fractions.

LCM of 23,66,24 is 6072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,21,308

GCF of Fractions 34/23,21/66,308/24 is 1/6072

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

Greatest Common Factor of 34,21,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,21,308 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 34,21,308 . The biggest common factor number is the GCF number.
So the greatest common factor 34,21,308 is 1.

Lets's calculate LCM of 23,66,24

2 23, 66, 24
3 23, 33, 12
23, 11, 4

∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 4 = 6072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6072

Therefore, the GCF of Fractions 34/23,21/66,308/24 is 1/6072

Least Common Multiple of 23,66,24 with GCF Formula

Least Common Multiple of 23,66,24 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 23,66,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,66,24) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,66,24) x common factors =1 x 6 = 6

LCM(23,66,24) = ( 23 × 66 × 24 ) / 6

LCM(23,66,24) = 36432 / 6

LCM(23,66,24) = 6072


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, 21/66, 308/24

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, 21/66, 308/24?

Answer: GCF of Numerators as per given numbers 34/23, 21/66, 308/24 is

GCF of Numerators i.e. for 34,21,308 is 1

LCM of denominators i.e. for 23,66,24 is 6072.

Thus, GCF of Fractions is 1/6072.Finally, GCF of Fractions for 34/23, 21/66, 308/24 is 1/6072.