Greatest Common Factor of 4287/421, 2229/9612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4287/421, 2229/9612

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 4287/421,2229/9612

Given fractions are 4287/421,2229/9612

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 4287,2229

Greatest Common Factor of Numerators i.e. GCF of 4287,2229 is 3 .

LCM of Denominators means LCM of 421,9612 as per the given fractions.

LCM of 421,9612 is 4046652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4287,2229

GCF of Fractions 4287/421,2229/9612 is 3/4046652

3 4287, 2229
1429, 743

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

Greatest Common Factor of 4287,2229 By Matching Biggest Common Factor Method

Greatest Common Factor of 4287,2229 By Matching Biggest Common Factor Method

Factors of 4287

List of positive integer factors of 4287 that divides 4287 without a remainder.

1,3,1429,4287

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1,3,743,2229

Greatest Common Factor

We found the factors 4287,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 4287,2229 is 3.

Lets's calculate LCM of 421,9612

Given numbers has no common factors except 1. So, there LCM is their product i.e 4046652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4046652

Therefore, the GCF of Fractions 4287/421,2229/9612 is 3/4046652

Least Common Multiple of 421,9612 with GCF Formula

Least Common Multiple of 421,9612 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 421,9612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,9612) = 1

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

GCF(421,9612) x common factors =1 x 1 = 1

LCM(421,9612) = ( 421 × 9612 ) / 1

LCM(421,9612) = 4046652 / 1

LCM(421,9612) = 4046652


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 4287/421, 2229/9612

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 4287/421, 2229/9612?

Answer: GCF of Numerators as per given numbers 4287/421, 2229/9612 is

GCF of Numerators i.e. for 4287,2229 is 3

LCM of denominators i.e. for 421,9612 is 4046652.

Thus, GCF of Fractions is 3/4046652.Finally, GCF of Fractions for 4287/421, 2229/9612 is 3/4046652.