Greatest Common Factor of 421/402, 3403/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 421/402, 3403/165

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 421/402,3403/165

Given fractions are 421/402,3403/165

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 421,3403

Greatest Common Factor of Numerators i.e. GCF of 421,3403 is 1 .

LCM of Denominators means LCM of 402,165 as per the given fractions.

LCM of 402,165 is 22110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 421,3403

GCF of Fractions 421/402,3403/165 is 1/22110

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 421,3403 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,3403 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1,41,83,3403

Greatest Common Factor

We found the factors 421,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 421,3403 is 1.

Lets's calculate LCM of 402,165

3 402, 165
134, 55

∴ So the LCM of the given numbers is 3 x 134 x 55 = 22110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22110

Therefore, the GCF of Fractions 421/402,3403/165 is 1/22110

Least Common Multiple of 402,165 with GCF Formula

Least Common Multiple of 402,165 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 402,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,165) = 3

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

GCF(402,165) x common factors =3 x 1 = 3

LCM(402,165) = ( 402 × 165 ) / 3

LCM(402,165) = 66330 / 3

LCM(402,165) = 22110


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 421/402, 3403/165

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 421/402, 3403/165?

Answer: GCF of Numerators as per given numbers 421/402, 3403/165 is

GCF of Numerators i.e. for 421,3403 is 1

LCM of denominators i.e. for 402,165 is 22110.

Thus, GCF of Fractions is 1/22110.Finally, GCF of Fractions for 421/402, 3403/165 is 1/22110.