Greatest Common Factor of 389/83, 410/1421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 389/83, 410/1421

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 389/83,410/1421

Given fractions are 389/83,410/1421

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 389,410

Greatest Common Factor of Numerators i.e. GCF of 389,410 is 1 .

LCM of Denominators means LCM of 83,1421 as per the given fractions.

LCM of 83,1421 is 117943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 389,410

GCF of Fractions 389/83,410/1421 is 1/117943

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

Greatest Common Factor of 389,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,410 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 389,410 . The biggest common factor number is the GCF number.
So the greatest common factor 389,410 is 1.

Lets's calculate LCM of 83,1421

Given numbers has no common factors except 1. So, there LCM is their product i.e 117943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117943

Therefore, the GCF of Fractions 389/83,410/1421 is 1/117943

Least Common Multiple of 83,1421 with GCF Formula

Least Common Multiple of 83,1421 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 83,1421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,1421) = 1

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

GCF(83,1421) x common factors =1 x 1 = 1

LCM(83,1421) = ( 83 × 1421 ) / 1

LCM(83,1421) = 117943 / 1

LCM(83,1421) = 117943


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 389/83, 410/1421

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 389/83, 410/1421?

Answer: GCF of Numerators as per given numbers 389/83, 410/1421 is

GCF of Numerators i.e. for 389,410 is 1

LCM of denominators i.e. for 83,1421 is 117943.

Thus, GCF of Fractions is 1/117943.Finally, GCF of Fractions for 389/83, 410/1421 is 1/117943.