Greatest Common Factor of 4230/421, 2541/5371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4230/421, 2541/5371

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 4230/421,2541/5371

Given fractions are 4230/421,2541/5371

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 4230,2541

Greatest Common Factor of Numerators i.e. GCF of 4230,2541 is 3 .

LCM of Denominators means LCM of 421,5371 as per the given fractions.

LCM of 421,5371 is 2261191 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4230,2541

GCF of Fractions 4230/421,2541/5371 is 3/2261191

3 4230, 2541
1410, 847

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

Greatest Common Factor of 4230,2541 By Matching Biggest Common Factor Method

Greatest Common Factor of 4230,2541 By Matching Biggest Common Factor Method

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Factors of 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1,3,7,11,21,33,77,121,231,363,847,2541

Greatest Common Factor

We found the factors 4230,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 4230,2541 is 3.

Lets's calculate LCM of 421,5371

Given numbers has no common factors except 1. So, there LCM is their product i.e 2261191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2261191

Therefore, the GCF of Fractions 4230/421,2541/5371 is 3/2261191

Least Common Multiple of 421,5371 with GCF Formula

Least Common Multiple of 421,5371 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 421,5371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,5371) = 1

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

GCF(421,5371) x common factors =1 x 1 = 1

LCM(421,5371) = ( 421 × 5371 ) / 1

LCM(421,5371) = 2261191 / 1

LCM(421,5371) = 2261191


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 4230/421, 2541/5371

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 4230/421, 2541/5371?

Answer: GCF of Numerators as per given numbers 4230/421, 2541/5371 is

GCF of Numerators i.e. for 4230,2541 is 3

LCM of denominators i.e. for 421,5371 is 2261191.

Thus, GCF of Fractions is 3/2261191.Finally, GCF of Fractions for 4230/421, 2541/5371 is 3/2261191.