Greatest Common Factor of 401/96, 321/1993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 401/96, 321/1993

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 401/96,321/1993

Given fractions are 401/96,321/1993

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 401,321

Greatest Common Factor of Numerators i.e. GCF of 401,321 is 1 .

LCM of Denominators means LCM of 96,1993 as per the given fractions.

LCM of 96,1993 is 191328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 401,321

GCF of Fractions 401/96,321/1993 is 1/191328

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

Greatest Common Factor of 401,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,321 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 401,321 . The biggest common factor number is the GCF number.
So the greatest common factor 401,321 is 1.

Lets's calculate LCM of 96,1993

Given numbers has no common factors except 1. So, there LCM is their product i.e 191328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191328

Therefore, the GCF of Fractions 401/96,321/1993 is 1/191328

Least Common Multiple of 96,1993 with GCF Formula

Least Common Multiple of 96,1993 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 96,1993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,1993) = 1

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

GCF(96,1993) x common factors =1 x 1 = 1

LCM(96,1993) = ( 96 × 1993 ) / 1

LCM(96,1993) = 191328 / 1

LCM(96,1993) = 191328


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 401/96, 321/1993

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 401/96, 321/1993?

Answer: GCF of Numerators as per given numbers 401/96, 321/1993 is

GCF of Numerators i.e. for 401,321 is 1

LCM of denominators i.e. for 96,1993 is 191328.

Thus, GCF of Fractions is 1/191328.Finally, GCF of Fractions for 401/96, 321/1993 is 1/191328.