Greatest Common Factor of 9656/592, 6898/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9656/592, 6898/628

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 9656/592,6898/628

Given fractions are 9656/592,6898/628

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 9656,6898

Greatest Common Factor of Numerators i.e. GCF of 9656,6898 is 2 .

LCM of Denominators means LCM of 592,628 as per the given fractions.

LCM of 592,628 is 92944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9656,6898

GCF of Fractions 9656/592,6898/628 is 2/92944

2 9656, 6898
4828, 3449

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

Greatest Common Factor of 9656,6898 By Matching Biggest Common Factor Method

Greatest Common Factor of 9656,6898 By Matching Biggest Common Factor Method

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Factors of 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1,2,3449,6898

Greatest Common Factor

We found the factors 9656,6898 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,6898 is 2.

Lets's calculate LCM of 592,628

2 592, 628
2 296, 314
148, 157

∴ So the LCM of the given numbers is 2 x 2 x 148 x 157 = 92944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92944

Therefore, the GCF of Fractions 9656/592,6898/628 is 2/92944

Least Common Multiple of 592,628 with GCF Formula

Least Common Multiple of 592,628 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 592,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,628) = 4

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

GCF(592,628) x common factors =4 x 1 = 4

LCM(592,628) = ( 592 × 628 ) / 4

LCM(592,628) = 371776 / 4

LCM(592,628) = 92944


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 9656/592, 6898/628

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 9656/592, 6898/628?

Answer: GCF of Numerators as per given numbers 9656/592, 6898/628 is

GCF of Numerators i.e. for 9656,6898 is 2

LCM of denominators i.e. for 592,628 is 92944.

Thus, GCF of Fractions is 2/92944.Finally, GCF of Fractions for 9656/592, 6898/628 is 2/92944.