Greatest Common Factor of 16/654, 2568/9635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/654, 2568/9635

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 16/654,2568/9635

Given fractions are 16/654,2568/9635

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 16,2568

Greatest Common Factor of Numerators i.e. GCF of 16,2568 is 8 .

LCM of Denominators means LCM of 654,9635 as per the given fractions.

LCM of 654,9635 is 6301290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,2568

GCF of Fractions 16/654,2568/9635 is 8/6301290

2 16, 2568
2 8, 1284
2 4, 642
2, 321

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 16,2568 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2568 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 2568

List of positive integer factors of 2568 that divides 2568 without a remainder.

1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568

Greatest Common Factor

We found the factors 16,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2568 is 8.

Lets's calculate LCM of 654,9635

Given numbers has no common factors except 1. So, there LCM is their product i.e 6301290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6301290

Therefore, the GCF of Fractions 16/654,2568/9635 is 8/6301290

Least Common Multiple of 654,9635 with GCF Formula

Least Common Multiple of 654,9635 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 654,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,9635) = 1

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

GCF(654,9635) x common factors =1 x 1 = 1

LCM(654,9635) = ( 654 × 9635 ) / 1

LCM(654,9635) = 6301290 / 1

LCM(654,9635) = 6301290


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 16/654, 2568/9635

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 16/654, 2568/9635?

Answer: GCF of Numerators as per given numbers 16/654, 2568/9635 is

GCF of Numerators i.e. for 16,2568 is 8

LCM of denominators i.e. for 654,9635 is 6301290.

Thus, GCF of Fractions is 8/6301290.Finally, GCF of Fractions for 16/654, 2568/9635 is 8/6301290.