Greatest Common Factor of 1878/67, 1230/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1878/67, 1230/832

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 1878/67,1230/832

Given fractions are 1878/67,1230/832

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 1878,1230

Greatest Common Factor of Numerators i.e. GCF of 1878,1230 is 6 .

LCM of Denominators means LCM of 67,832 as per the given fractions.

LCM of 67,832 is 55744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1878,1230

GCF of Fractions 1878/67,1230/832 is 6/55744

2 1878, 1230
3 939, 615
313, 205

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

Greatest Common Factor of 1878,1230 By Matching Biggest Common Factor Method

Greatest Common Factor of 1878,1230 By Matching Biggest Common Factor Method

Factors of 1878

List of positive integer factors of 1878 that divides 1878 without a remainder.

1,2,3,6,313,626,939,1878

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Greatest Common Factor

We found the factors 1878,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 1878,1230 is 6.

Lets's calculate LCM of 67,832

Given numbers has no common factors except 1. So, there LCM is their product i.e 55744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/55744

Therefore, the GCF of Fractions 1878/67,1230/832 is 6/55744

Least Common Multiple of 67,832 with GCF Formula

Least Common Multiple of 67,832 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 67,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,832) = 1

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

GCF(67,832) x common factors =1 x 1 = 1

LCM(67,832) = ( 67 × 832 ) / 1

LCM(67,832) = 55744 / 1

LCM(67,832) = 55744


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 1878/67, 1230/832

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 1878/67, 1230/832?

Answer: GCF of Numerators as per given numbers 1878/67, 1230/832 is

GCF of Numerators i.e. for 1878,1230 is 6

LCM of denominators i.e. for 67,832 is 55744.

Thus, GCF of Fractions is 6/55744.Finally, GCF of Fractions for 1878/67, 1230/832 is 6/55744.