Greatest Common Factor of 9/39, 30/63, 39/112, 474/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/39, 30/63, 39/112, 474/252

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 9/39,30/63,39/112,474/252

Given fractions are 9/39,30/63,39/112,474/252

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 9,30,39,474

Greatest Common Factor of Numerators i.e. GCF of 9,30,39,474 is 3 .

LCM of Denominators means LCM of 39,63,112,252 as per the given fractions.

LCM of 39,63,112,252 is 13104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,30,39,474

GCF of Fractions 9/39,30/63,39/112,474/252 is 3/13104

3 9, 30, 39, 474
3, 10, 13, 158

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

Greatest Common Factor of 9,30,39,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,30,39,474 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 9,30,39,474 . The biggest common factor number is the GCF number.
So the greatest common factor 9,30,39,474 is 3.

Lets's calculate LCM of 39,63,112,252

2 39, 63, 112, 252
2 39, 63, 56, 126
3 39, 63, 28, 63
3 13, 21, 28, 21
7 13, 7, 28, 7
13, 1, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 13 x 1 x 4 x 1 = 13104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13104

Therefore, the GCF of Fractions 9/39,30/63,39/112,474/252 is 3/13104

Least Common Multiple of 39,63,112,252 with GCF Formula

Least Common Multiple of 39,63,112,252 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 39,63,112,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,63,112,252) = 1

common factors(in case of two or more numbers have common factors) = 5292

GCF(39,63,112,252) x common factors =1 x 5292 = 5292

LCM(39,63,112,252) = ( 39 × 63 × 112 × 252 ) / 5292

LCM(39,63,112,252) = 69346368 / 5292

LCM(39,63,112,252) = 13104


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 9/39, 30/63, 39/112, 474/252

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 9/39, 30/63, 39/112, 474/252?

Answer: GCF of Numerators as per given numbers 9/39, 30/63, 39/112, 474/252 is

GCF of Numerators i.e. for 9,30,39,474 is 3

LCM of denominators i.e. for 39,63,112,252 is 13104.

Thus, GCF of Fractions is 3/13104.Finally, GCF of Fractions for 9/39, 30/63, 39/112, 474/252 is 3/13104.