Greatest Common Factor of 7659/45, 4738/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7659/45, 4738/828

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 7659/45,4738/828

Given fractions are 7659/45,4738/828

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 7659,4738

Greatest Common Factor of Numerators i.e. GCF of 7659,4738 is 23 .

LCM of Denominators means LCM of 45,828 as per the given fractions.

LCM of 45,828 is 4140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7659,4738

GCF of Fractions 7659/45,4738/828 is 23/4140

23 7659, 4738
333, 206

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 7659,4738 By Matching Biggest Common Factor Method

Greatest Common Factor of 7659,4738 By Matching Biggest Common Factor Method

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Greatest Common Factor

We found the factors 7659,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 7659,4738 is 23.

Lets's calculate LCM of 45,828

3 45, 828
3 15, 276
5, 92

∴ So the LCM of the given numbers is 3 x 3 x 5 x 92 = 4140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4140

Therefore, the GCF of Fractions 7659/45,4738/828 is 23/4140

Least Common Multiple of 45,828 with GCF Formula

Least Common Multiple of 45,828 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 45,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,828) = 9

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

GCF(45,828) x common factors =9 x 1 = 9

LCM(45,828) = ( 45 × 828 ) / 9

LCM(45,828) = 37260 / 9

LCM(45,828) = 4140


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 7659/45, 4738/828

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 7659/45, 4738/828?

Answer: GCF of Numerators as per given numbers 7659/45, 4738/828 is

GCF of Numerators i.e. for 7659,4738 is 23

LCM of denominators i.e. for 45,828 is 4140.

Thus, GCF of Fractions is 23/4140.Finally, GCF of Fractions for 7659/45, 4738/828 is 23/4140.