Greatest Common Factor of 10/13, 968/59, 647/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 10/13, 968/59, 647/566

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 10/13,968/59,647/566

Given fractions are 10/13,968/59,647/566

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 10,968,647

Greatest Common Factor of Numerators i.e. GCF of 10,968,647 is 1 .

LCM of Denominators means LCM of 13,59,566 as per the given fractions.

LCM of 13,59,566 is 434122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,968,647

GCF of Fractions 10/13,968/59,647/566 is 1/434122

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

Greatest Common Factor of 10,968,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,968,647 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 10,968,647 . The biggest common factor number is the GCF number.
So the greatest common factor 10,968,647 is 1.


Lets's calculate LCM of 13,59,566

Given numbers has no common factors except 1. So, there LCM is their product i.e 434122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434122

Therefore, the GCF of Fractions 10/13,968/59,647/566 is 1/434122

Least Common Multiple of 13,59,566 with GCF Formula

Least Common Multiple of 13,59,566 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 13,59,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,59,566) = 1

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

GCF(13,59,566) x common factors =1 x 1 = 1

LCM(13,59,566) = ( 13 × 59 × 566 ) / 1

LCM(13,59,566) = 434122 / 1

LCM(13,59,566) = 434122


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 10/13, 968/59, 647/566

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 10/13, 968/59, 647/566?

Answer: GCF of Numerators as per given numbers 10/13, 968/59, 647/566 is

GCF of Numerators i.e. for 10,968,647 is 1

LCM of denominators i.e. for 13,59,566 is 434122.

Thus, GCF of Fractions is 1/434122.Finally, GCF of Fractions for 10/13, 968/59, 647/566 is 1/434122.