Greatest Common Factor of 1983/933, 5223/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1983/933, 5223/139

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 1983/933,5223/139

Given fractions are 1983/933,5223/139

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 1983,5223

Greatest Common Factor of Numerators i.e. GCF of 1983,5223 is 3 .

LCM of Denominators means LCM of 933,139 as per the given fractions.

LCM of 933,139 is 129687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1983,5223

GCF of Fractions 1983/933,5223/139 is 3/129687

3 1983, 5223
661, 1741

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1983,5223 By Matching Biggest Common Factor Method

Greatest Common Factor of 1983,5223 By Matching Biggest Common Factor Method

Factors of 1983

List of positive integer factors of 1983 that divides 1983 without a remainder.

1,3,661,1983

Factors of 5223

List of positive integer factors of 5223 that divides 5223 without a remainder.

1,3,1741,5223

Greatest Common Factor

We found the factors 1983,5223 . The biggest common factor number is the GCF number.
So the greatest common factor 1983,5223 is 3.

Lets's calculate LCM of 933,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 129687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/129687

Therefore, the GCF of Fractions 1983/933,5223/139 is 3/129687

Least Common Multiple of 933,139 with GCF Formula

Least Common Multiple of 933,139 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 933,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,139) = 1

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

GCF(933,139) x common factors =1 x 1 = 1

LCM(933,139) = ( 933 × 139 ) / 1

LCM(933,139) = 129687 / 1

LCM(933,139) = 129687


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 1983/933, 5223/139

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 1983/933, 5223/139?

Answer: GCF of Numerators as per given numbers 1983/933, 5223/139 is

GCF of Numerators i.e. for 1983,5223 is 3

LCM of denominators i.e. for 933,139 is 129687.

Thus, GCF of Fractions is 3/129687.Finally, GCF of Fractions for 1983/933, 5223/139 is 3/129687.