Greatest Common Factor of 7636/726, 1984/9829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7636/726, 1984/9829

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 7636/726,1984/9829

Given fractions are 7636/726,1984/9829

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 7636,1984

Greatest Common Factor of Numerators i.e. GCF of 7636,1984 is 4 .

LCM of Denominators means LCM of 726,9829 as per the given fractions.

LCM of 726,9829 is 7135854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7636,1984

GCF of Fractions 7636/726,1984/9829 is 4/7135854

2 7636, 1984
2 3818, 992
1909, 496

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7636,1984 By Matching Biggest Common Factor Method

Greatest Common Factor of 7636,1984 By Matching Biggest Common Factor Method

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Factors of 1984

List of positive integer factors of 1984 that divides 1984 without a remainder.

1,2,4,8,16,31,32,62,64,124,248,496,992,1984

Greatest Common Factor

We found the factors 7636,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 7636,1984 is 4.

Lets's calculate LCM of 726,9829

Given numbers has no common factors except 1. So, there LCM is their product i.e 7135854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7135854

Therefore, the GCF of Fractions 7636/726,1984/9829 is 4/7135854

Least Common Multiple of 726,9829 with GCF Formula

Least Common Multiple of 726,9829 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 726,9829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,9829) = 1

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

GCF(726,9829) x common factors =1 x 1 = 1

LCM(726,9829) = ( 726 × 9829 ) / 1

LCM(726,9829) = 7135854 / 1

LCM(726,9829) = 7135854


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 7636/726, 1984/9829

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 7636/726, 1984/9829?

Answer: GCF of Numerators as per given numbers 7636/726, 1984/9829 is

GCF of Numerators i.e. for 7636,1984 is 4

LCM of denominators i.e. for 726,9829 is 7135854.

Thus, GCF of Fractions is 4/7135854.Finally, GCF of Fractions for 7636/726, 1984/9829 is 4/7135854.