Greatest Common Factor of 390/41, 909/27, 697/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/41, 909/27, 697/282

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 390/41,909/27,697/282

Given fractions are 390/41,909/27,697/282

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 390,909,697

Greatest Common Factor of Numerators i.e. GCF of 390,909,697 is 1 .

LCM of Denominators means LCM of 41,27,282 as per the given fractions.

LCM of 41,27,282 is 104058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,909,697

GCF of Fractions 390/41,909/27,697/282 is 1/104058

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

Greatest Common Factor of 390,909,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,909,697 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 390,909,697 . The biggest common factor number is the GCF number.
So the greatest common factor 390,909,697 is 1.

Lets's calculate LCM of 41,27,282

3 41, 27, 282
41, 9, 94

∴ So the LCM of the given numbers is 3 x 41 x 9 x 94 = 104058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104058

Therefore, the GCF of Fractions 390/41,909/27,697/282 is 1/104058

Least Common Multiple of 41,27,282 with GCF Formula

Least Common Multiple of 41,27,282 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 41,27,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,27,282) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,27,282) x common factors =1 x 3 = 3

LCM(41,27,282) = ( 41 × 27 × 282 ) / 3

LCM(41,27,282) = 312174 / 3

LCM(41,27,282) = 104058


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 390/41, 909/27, 697/282

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 390/41, 909/27, 697/282?

Answer: GCF of Numerators as per given numbers 390/41, 909/27, 697/282 is

GCF of Numerators i.e. for 390,909,697 is 1

LCM of denominators i.e. for 41,27,282 is 104058.

Thus, GCF of Fractions is 1/104058.Finally, GCF of Fractions for 390/41, 909/27, 697/282 is 1/104058.