Greatest Common Factor of 1230/228, 6624/4715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1230/228, 6624/4715

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 1230/228,6624/4715

Given fractions are 1230/228,6624/4715

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 1230,6624

Greatest Common Factor of Numerators i.e. GCF of 1230,6624 is 6 .

LCM of Denominators means LCM of 228,4715 as per the given fractions.

LCM of 228,4715 is 1075020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1230,6624

GCF of Fractions 1230/228,6624/4715 is 6/1075020

2 1230, 6624
3 615, 3312
205, 1104

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

Greatest Common Factor of 1230,6624 By Matching Biggest Common Factor Method

Greatest Common Factor of 1230,6624 By Matching Biggest Common Factor Method

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

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624

Greatest Common Factor

We found the factors 1230,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 1230,6624 is 6.

Lets's calculate LCM of 228,4715

Given numbers has no common factors except 1. So, there LCM is their product i.e 1075020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1075020

Therefore, the GCF of Fractions 1230/228,6624/4715 is 6/1075020

Least Common Multiple of 228,4715 with GCF Formula

Least Common Multiple of 228,4715 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 228,4715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,4715) = 1

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

GCF(228,4715) x common factors =1 x 1 = 1

LCM(228,4715) = ( 228 × 4715 ) / 1

LCM(228,4715) = 1075020 / 1

LCM(228,4715) = 1075020


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 1230/228, 6624/4715

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 1230/228, 6624/4715?

Answer: GCF of Numerators as per given numbers 1230/228, 6624/4715 is

GCF of Numerators i.e. for 1230,6624 is 6

LCM of denominators i.e. for 228,4715 is 1075020.

Thus, GCF of Fractions is 6/1075020.Finally, GCF of Fractions for 1230/228, 6624/4715 is 6/1075020.