Greatest Common Factor of 210/15, 439/30, 774/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/15, 439/30, 774/361

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 210/15,439/30,774/361

Given fractions are 210/15,439/30,774/361

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 210,439,774

Greatest Common Factor of Numerators i.e. GCF of 210,439,774 is 1 .

LCM of Denominators means LCM of 15,30,361 as per the given fractions.

LCM of 15,30,361 is 10830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,439,774

GCF of Fractions 210/15,439/30,774/361 is 1/10830

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

Greatest Common Factor of 210,439,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,439,774 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 210,439,774 . The biggest common factor number is the GCF number.
So the greatest common factor 210,439,774 is 1.

Lets's calculate LCM of 15,30,361

3 15, 30, 361
5 5, 10, 361
1, 2, 361

∴ So the LCM of the given numbers is 3 x 5 x 1 x 2 x 361 = 10830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10830

Therefore, the GCF of Fractions 210/15,439/30,774/361 is 1/10830

Least Common Multiple of 15,30,361 with GCF Formula

Least Common Multiple of 15,30,361 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 15,30,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,30,361) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,30,361) x common factors =1 x 15 = 15

LCM(15,30,361) = ( 15 × 30 × 361 ) / 15

LCM(15,30,361) = 162450 / 15

LCM(15,30,361) = 10830


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 210/15, 439/30, 774/361

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 210/15, 439/30, 774/361?

Answer: GCF of Numerators as per given numbers 210/15, 439/30, 774/361 is

GCF of Numerators i.e. for 210,439,774 is 1

LCM of denominators i.e. for 15,30,361 is 10830.

Thus, GCF of Fractions is 1/10830.Finally, GCF of Fractions for 210/15, 439/30, 774/361 is 1/10830.