Greatest Common Factor of 312/36, 447/4168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/36, 447/4168

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 312/36,447/4168

Given fractions are 312/36,447/4168

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 312,447

Greatest Common Factor of Numerators i.e. GCF of 312,447 is 3 .

LCM of Denominators means LCM of 36,4168 as per the given fractions.

LCM of 36,4168 is 37512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,447

GCF of Fractions 312/36,447/4168 is 3/37512

3 312, 447
104, 149

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

Greatest Common Factor of 312,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,447 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 312,447 . The biggest common factor number is the GCF number.
So the greatest common factor 312,447 is 3.

Lets's calculate LCM of 36,4168

2 36, 4168
2 18, 2084
9, 1042

∴ So the LCM of the given numbers is 2 x 2 x 9 x 1042 = 37512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37512

Therefore, the GCF of Fractions 312/36,447/4168 is 3/37512

Least Common Multiple of 36,4168 with GCF Formula

Least Common Multiple of 36,4168 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 36,4168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,4168) = 4

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

GCF(36,4168) x common factors =4 x 1 = 4

LCM(36,4168) = ( 36 × 4168 ) / 4

LCM(36,4168) = 150048 / 4

LCM(36,4168) = 37512


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 312/36, 447/4168

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 312/36, 447/4168?

Answer: GCF of Numerators as per given numbers 312/36, 447/4168 is

GCF of Numerators i.e. for 312,447 is 3

LCM of denominators i.e. for 36,4168 is 37512.

Thus, GCF of Fractions is 3/37512.Finally, GCF of Fractions for 312/36, 447/4168 is 3/37512.