Greatest Common Factor of 6810/400, 1233/7830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6810/400, 1233/7830

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 6810/400,1233/7830

Given fractions are 6810/400,1233/7830

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 6810,1233

Greatest Common Factor of Numerators i.e. GCF of 6810,1233 is 3 .

LCM of Denominators means LCM of 400,7830 as per the given fractions.

LCM of 400,7830 is 313200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6810,1233

GCF of Fractions 6810/400,1233/7830 is 3/313200

3 6810, 1233
2270, 411

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

Greatest Common Factor of 6810,1233 By Matching Biggest Common Factor Method

Greatest Common Factor of 6810,1233 By Matching Biggest Common Factor Method

Factors of 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1,3,9,137,411,1233

Greatest Common Factor

We found the factors 6810,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 6810,1233 is 3.

Lets's calculate LCM of 400,7830

2 400, 7830
5 200, 3915
40, 783

∴ So the LCM of the given numbers is 2 x 5 x 40 x 783 = 313200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/313200

Therefore, the GCF of Fractions 6810/400,1233/7830 is 3/313200

Least Common Multiple of 400,7830 with GCF Formula

Least Common Multiple of 400,7830 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 400,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,7830) = 10

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

GCF(400,7830) x common factors =10 x 1 = 10

LCM(400,7830) = ( 400 × 7830 ) / 10

LCM(400,7830) = 3132000 / 10

LCM(400,7830) = 313200


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 6810/400, 1233/7830

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 6810/400, 1233/7830?

Answer: GCF of Numerators as per given numbers 6810/400, 1233/7830 is

GCF of Numerators i.e. for 6810,1233 is 3

LCM of denominators i.e. for 400,7830 is 313200.

Thus, GCF of Fractions is 3/313200.Finally, GCF of Fractions for 6810/400, 1233/7830 is 3/313200.