Greatest Common Factor of 7830/57, 4638/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7830/57, 4638/129

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 7830/57,4638/129

Given fractions are 7830/57,4638/129

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 7830,4638

Greatest Common Factor of Numerators i.e. GCF of 7830,4638 is 6 .

LCM of Denominators means LCM of 57,129 as per the given fractions.

LCM of 57,129 is 2451 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7830,4638

GCF of Fractions 7830/57,4638/129 is 6/2451

2 7830, 4638
3 3915, 2319
1305, 773

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7830,4638 By Matching Biggest Common Factor Method

Greatest Common Factor of 7830,4638 By Matching Biggest Common Factor Method

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors 7830,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 7830,4638 is 6.

Lets's calculate LCM of 57,129

3 57, 129
19, 43

∴ So the LCM of the given numbers is 3 x 19 x 43 = 2451

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2451

Therefore, the GCF of Fractions 7830/57,4638/129 is 6/2451

Least Common Multiple of 57,129 with GCF Formula

Least Common Multiple of 57,129 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 57,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,129) = 3

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

GCF(57,129) x common factors =3 x 1 = 3

LCM(57,129) = ( 57 × 129 ) / 3

LCM(57,129) = 7353 / 3

LCM(57,129) = 2451


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 7830/57, 4638/129

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 7830/57, 4638/129?

Answer: GCF of Numerators as per given numbers 7830/57, 4638/129 is

GCF of Numerators i.e. for 7830,4638 is 6

LCM of denominators i.e. for 57,129 is 2451.

Thus, GCF of Fractions is 6/2451.Finally, GCF of Fractions for 7830/57, 4638/129 is 6/2451.