Greatest Common Factor of 5972/38, 8383/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5972/38, 8383/221

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 5972/38,8383/221

Given fractions are 5972/38,8383/221

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 5972,8383

Greatest Common Factor of Numerators i.e. GCF of 5972,8383 is 1 .

LCM of Denominators means LCM of 38,221 as per the given fractions.

LCM of 38,221 is 8398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5972,8383

GCF of Fractions 5972/38,8383/221 is 1/8398

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

Greatest Common Factor of 5972,8383 By Matching Biggest Common Factor Method

Greatest Common Factor of 5972,8383 By Matching Biggest Common Factor Method

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1,2,4,1493,2986,5972

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1,83,101,8383

Greatest Common Factor

We found the factors 5972,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 5972,8383 is 1.

Lets's calculate LCM of 38,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 8398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8398

Therefore, the GCF of Fractions 5972/38,8383/221 is 1/8398

Least Common Multiple of 38,221 with GCF Formula

Least Common Multiple of 38,221 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 38,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,221) = 1

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

GCF(38,221) x common factors =1 x 1 = 1

LCM(38,221) = ( 38 × 221 ) / 1

LCM(38,221) = 8398 / 1

LCM(38,221) = 8398


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 5972/38, 8383/221

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 5972/38, 8383/221?

Answer: GCF of Numerators as per given numbers 5972/38, 8383/221 is

GCF of Numerators i.e. for 5972,8383 is 1

LCM of denominators i.e. for 38,221 is 8398.

Thus, GCF of Fractions is 1/8398.Finally, GCF of Fractions for 5972/38, 8383/221 is 1/8398.