Greatest Common Factor of 3983/65, 4421/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3983/65, 4421/633

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 3983/65,4421/633

Given fractions are 3983/65,4421/633

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 3983,4421

Greatest Common Factor of Numerators i.e. GCF of 3983,4421 is 1 .

LCM of Denominators means LCM of 65,633 as per the given fractions.

LCM of 65,633 is 41145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3983,4421

GCF of Fractions 3983/65,4421/633 is 1/41145

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

Greatest Common Factor of 3983,4421 By Matching Biggest Common Factor Method

Greatest Common Factor of 3983,4421 By Matching Biggest Common Factor Method

Factors of 3983

List of positive integer factors of 3983 that divides 3983 without a remainder.

1,7,569,3983

Factors of 4421

List of positive integer factors of 4421 that divides 4421 without a remainder.

1,4421

Greatest Common Factor

We found the factors 3983,4421 . The biggest common factor number is the GCF number.
So the greatest common factor 3983,4421 is 1.

Lets's calculate LCM of 65,633

Given numbers has no common factors except 1. So, there LCM is their product i.e 41145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41145

Therefore, the GCF of Fractions 3983/65,4421/633 is 1/41145

Least Common Multiple of 65,633 with GCF Formula

Least Common Multiple of 65,633 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 65,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,633) = 1

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

GCF(65,633) x common factors =1 x 1 = 1

LCM(65,633) = ( 65 × 633 ) / 1

LCM(65,633) = 41145 / 1

LCM(65,633) = 41145


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 3983/65, 4421/633

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 3983/65, 4421/633?

Answer: GCF of Numerators as per given numbers 3983/65, 4421/633 is

GCF of Numerators i.e. for 3983,4421 is 1

LCM of denominators i.e. for 65,633 is 41145.

Thus, GCF of Fractions is 1/41145.Finally, GCF of Fractions for 3983/65, 4421/633 is 1/41145.