Greatest Common Factor of 9/52, 68/65, 16/239, 419/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/52, 68/65, 16/239, 419/512

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 9/52,68/65,16/239,419/512

Given fractions are 9/52,68/65,16/239,419/512

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 9,68,16,419

Greatest Common Factor of Numerators i.e. GCF of 9,68,16,419 is 1 .

LCM of Denominators means LCM of 52,65,239,512 as per the given fractions.

LCM of 52,65,239,512 is 7953920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,68,16,419

GCF of Fractions 9/52,68/65,16/239,419/512 is 1/7953920

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

Greatest Common Factor of 9,68,16,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,68,16,419 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 9,68,16,419 . The biggest common factor number is the GCF number.
So the greatest common factor 9,68,16,419 is 1.

Lets's calculate LCM of 52,65,239,512

2 52, 65, 239, 512
2 26, 65, 239, 256
13 13, 65, 239, 128
1, 5, 239, 128

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 5 x 239 x 128 = 7953920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7953920

Therefore, the GCF of Fractions 9/52,68/65,16/239,419/512 is 1/7953920

Least Common Multiple of 52,65,239,512 with GCF Formula

Least Common Multiple of 52,65,239,512 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 52,65,239,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,65,239,512) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,65,239,512) x common factors =1 x 52 = 52

LCM(52,65,239,512) = ( 52 × 65 × 239 × 512 ) / 52

LCM(52,65,239,512) = 413603840 / 52

LCM(52,65,239,512) = 7953920


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 9/52, 68/65, 16/239, 419/512

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 9/52, 68/65, 16/239, 419/512?

Answer: GCF of Numerators as per given numbers 9/52, 68/65, 16/239, 419/512 is

GCF of Numerators i.e. for 9,68,16,419 is 1

LCM of denominators i.e. for 52,65,239,512 is 7953920.

Thus, GCF of Fractions is 1/7953920.Finally, GCF of Fractions for 9/52, 68/65, 16/239, 419/512 is 1/7953920.