Greatest Common Factor of 437/41, 388/30, 865/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/41, 388/30, 865/12

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 437/41,388/30,865/12

Given fractions are 437/41,388/30,865/12

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 437,388,865

Greatest Common Factor of Numerators i.e. GCF of 437,388,865 is 1 .

LCM of Denominators means LCM of 41,30,12 as per the given fractions.

LCM of 41,30,12 is 2460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,388,865

GCF of Fractions 437/41,388/30,865/12 is 1/2460

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

Greatest Common Factor of 437,388,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,388,865 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 437,388,865 . The biggest common factor number is the GCF number.
So the greatest common factor 437,388,865 is 1.

Lets's calculate LCM of 41,30,12

2 41, 30, 12
3 41, 15, 6
41, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 41 x 5 x 2 = 2460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2460

Therefore, the GCF of Fractions 437/41,388/30,865/12 is 1/2460

Least Common Multiple of 41,30,12 with GCF Formula

Least Common Multiple of 41,30,12 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 41,30,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,30,12) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(41,30,12) x common factors =1 x 6 = 6

LCM(41,30,12) = ( 41 × 30 × 12 ) / 6

LCM(41,30,12) = 14760 / 6

LCM(41,30,12) = 2460


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 437/41, 388/30, 865/12

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 437/41, 388/30, 865/12?

Answer: GCF of Numerators as per given numbers 437/41, 388/30, 865/12 is

GCF of Numerators i.e. for 437,388,865 is 1

LCM of denominators i.e. for 41,30,12 is 2460.

Thus, GCF of Fractions is 1/2460.Finally, GCF of Fractions for 437/41, 388/30, 865/12 is 1/2460.