Greatest Common Factor of 64/14, 72/29, 309/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/14, 72/29, 309/19

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 64/14,72/29,309/19

Given fractions are 64/14,72/29,309/19

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 64,72,309

Greatest Common Factor of Numerators i.e. GCF of 64,72,309 is 1 .

LCM of Denominators means LCM of 14,29,19 as per the given fractions.

LCM of 14,29,19 is 7714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,72,309

GCF of Fractions 64/14,72/29,309/19 is 1/7714

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

Greatest Common Factor of 64,72,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,72,309 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 64,72,309 . The biggest common factor number is the GCF number.
So the greatest common factor 64,72,309 is 1.

Lets's calculate LCM of 14,29,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 7714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7714

Therefore, the GCF of Fractions 64/14,72/29,309/19 is 1/7714

Least Common Multiple of 14,29,19 with GCF Formula

Least Common Multiple of 14,29,19 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 14,29,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,29,19) = 1

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

GCF(14,29,19) x common factors =1 x 1 = 1

LCM(14,29,19) = ( 14 × 29 × 19 ) / 1

LCM(14,29,19) = 7714 / 1

LCM(14,29,19) = 7714


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 64/14, 72/29, 309/19

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 64/14, 72/29, 309/19?

Answer: GCF of Numerators as per given numbers 64/14, 72/29, 309/19 is

GCF of Numerators i.e. for 64,72,309 is 1

LCM of denominators i.e. for 14,29,19 is 7714.

Thus, GCF of Fractions is 1/7714.Finally, GCF of Fractions for 64/14, 72/29, 309/19 is 1/7714.