Greatest Common Factor of 5937/111, 4248/9930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5937/111, 4248/9930

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 5937/111,4248/9930

Given fractions are 5937/111,4248/9930

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 5937,4248

Greatest Common Factor of Numerators i.e. GCF of 5937,4248 is 3 .

LCM of Denominators means LCM of 111,9930 as per the given fractions.

LCM of 111,9930 is 367410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5937,4248

GCF of Fractions 5937/111,4248/9930 is 3/367410

3 5937, 4248
1979, 1416

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

Greatest Common Factor of 5937,4248 By Matching Biggest Common Factor Method

Greatest Common Factor of 5937,4248 By Matching Biggest Common Factor Method

Factors of 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1,3,1979,5937

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248

Greatest Common Factor

We found the factors 5937,4248 . The biggest common factor number is the GCF number.
So the greatest common factor 5937,4248 is 3.

Lets's calculate LCM of 111,9930

3 111, 9930
37, 3310

∴ So the LCM of the given numbers is 3 x 37 x 3310 = 367410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/367410

Therefore, the GCF of Fractions 5937/111,4248/9930 is 3/367410

Least Common Multiple of 111,9930 with GCF Formula

Least Common Multiple of 111,9930 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 111,9930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,9930) = 3

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

GCF(111,9930) x common factors =3 x 1 = 3

LCM(111,9930) = ( 111 × 9930 ) / 3

LCM(111,9930) = 1102230 / 3

LCM(111,9930) = 367410


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5937/111, 4248/9930

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 5937/111, 4248/9930?

Answer: GCF of Numerators as per given numbers 5937/111, 4248/9930 is

GCF of Numerators i.e. for 5937,4248 is 3

LCM of denominators i.e. for 111,9930 is 367410.

Thus, GCF of Fractions is 3/367410.Finally, GCF of Fractions for 5937/111, 4248/9930 is 3/367410.