Greatest Common Factor of 34/65, 23/30, 20/94, 15/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/65, 23/30, 20/94, 15/709

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 34/65,23/30,20/94,15/709

Given fractions are 34/65,23/30,20/94,15/709

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 34,23,20,15

Greatest Common Factor of Numerators i.e. GCF of 34,23,20,15 is 1 .

LCM of Denominators means LCM of 65,30,94,709 as per the given fractions.

LCM of 65,30,94,709 is 12995970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,23,20,15

GCF of Fractions 34/65,23/30,20/94,15/709 is 1/12995970

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

Greatest Common Factor of 34,23,20,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,23,20,15 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 34,23,20,15 . The biggest common factor number is the GCF number.
So the greatest common factor 34,23,20,15 is 1.

Lets's calculate LCM of 65,30,94,709

2 65, 30, 94, 709
5 65, 15, 47, 709
13, 3, 47, 709

∴ So the LCM of the given numbers is 2 x 5 x 13 x 3 x 47 x 709 = 12995970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12995970

Therefore, the GCF of Fractions 34/65,23/30,20/94,15/709 is 1/12995970

Least Common Multiple of 65,30,94,709 with GCF Formula

Least Common Multiple of 65,30,94,709 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 65,30,94,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,30,94,709) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(65,30,94,709) x common factors =1 x 10 = 10

LCM(65,30,94,709) = ( 65 × 30 × 94 × 709 ) / 10

LCM(65,30,94,709) = 129959700 / 10

LCM(65,30,94,709) = 12995970


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 34/65, 23/30, 20/94, 15/709

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 34/65, 23/30, 20/94, 15/709?

Answer: GCF of Numerators as per given numbers 34/65, 23/30, 20/94, 15/709 is

GCF of Numerators i.e. for 34,23,20,15 is 1

LCM of denominators i.e. for 65,30,94,709 is 12995970.

Thus, GCF of Fractions is 1/12995970.Finally, GCF of Fractions for 34/65, 23/30, 20/94, 15/709 is 1/12995970.