Greatest Common Factor of 7626/734, 9837/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7626/734, 9837/716

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 7626/734,9837/716

Given fractions are 7626/734,9837/716

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 7626,9837

Greatest Common Factor of Numerators i.e. GCF of 7626,9837 is 3 .

LCM of Denominators means LCM of 734,716 as per the given fractions.

LCM of 734,716 is 262772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7626,9837

GCF of Fractions 7626/734,9837/716 is 3/262772

3 7626, 9837
2542, 3279

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7626,9837 By Matching Biggest Common Factor Method

Greatest Common Factor of 7626,9837 By Matching Biggest Common Factor Method

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1,3,9,1093,3279,9837

Greatest Common Factor

We found the factors 7626,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 7626,9837 is 3.

Lets's calculate LCM of 734,716

2 734, 716
367, 358

∴ So the LCM of the given numbers is 2 x 367 x 358 = 262772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/262772

Therefore, the GCF of Fractions 7626/734,9837/716 is 3/262772

Least Common Multiple of 734,716 with GCF Formula

Least Common Multiple of 734,716 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 734,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,716) = 2

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

GCF(734,716) x common factors =2 x 1 = 2

LCM(734,716) = ( 734 × 716 ) / 2

LCM(734,716) = 525544 / 2

LCM(734,716) = 262772


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 7626/734, 9837/716

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 7626/734, 9837/716?

Answer: GCF of Numerators as per given numbers 7626/734, 9837/716 is

GCF of Numerators i.e. for 7626,9837 is 3

LCM of denominators i.e. for 734,716 is 262772.

Thus, GCF of Fractions is 3/262772.Finally, GCF of Fractions for 7626/734, 9837/716 is 3/262772.