Greatest Common Factor of 50/367, 37/323, 462/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/367, 37/323, 462/210

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 50/367,37/323,462/210

Given fractions are 50/367,37/323,462/210

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 50,37,462

Greatest Common Factor of Numerators i.e. GCF of 50,37,462 is 1 .

LCM of Denominators means LCM of 367,323,210 as per the given fractions.

LCM of 367,323,210 is 24893610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,37,462

GCF of Fractions 50/367,37/323,462/210 is 1/24893610

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

Greatest Common Factor of 50,37,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,37,462 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 50,37,462 . The biggest common factor number is the GCF number.
So the greatest common factor 50,37,462 is 1.

Lets's calculate LCM of 367,323,210

Given numbers has no common factors except 1. So, there LCM is their product i.e 24893610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24893610

Therefore, the GCF of Fractions 50/367,37/323,462/210 is 1/24893610

Least Common Multiple of 367,323,210 with GCF Formula

Least Common Multiple of 367,323,210 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 367,323,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,323,210) = 1

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

GCF(367,323,210) x common factors =1 x 1 = 1

LCM(367,323,210) = ( 367 × 323 × 210 ) / 1

LCM(367,323,210) = 24893610 / 1

LCM(367,323,210) = 24893610


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 50/367, 37/323, 462/210

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 50/367, 37/323, 462/210?

Answer: GCF of Numerators as per given numbers 50/367, 37/323, 462/210 is

GCF of Numerators i.e. for 50,37,462 is 1

LCM of denominators i.e. for 367,323,210 is 24893610.

Thus, GCF of Fractions is 1/24893610.Finally, GCF of Fractions for 50/367, 37/323, 462/210 is 1/24893610.