Greatest Common Factor of 36/497, 458/799, 214/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/497, 458/799, 214/462

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 36/497,458/799,214/462

Given fractions are 36/497,458/799,214/462

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 36,458,214

Greatest Common Factor of Numerators i.e. GCF of 36,458,214 is 2 .

LCM of Denominators means LCM of 497,799,462 as per the given fractions.

LCM of 497,799,462 is 26208798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,458,214

GCF of Fractions 36/497,458/799,214/462 is 2/26208798

2 36, 458, 214
18, 229, 107

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 36,458,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,458,214 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 36,458,214 . The biggest common factor number is the GCF number.
So the greatest common factor 36,458,214 is 2.

Lets's calculate LCM of 497,799,462

7 497, 799, 462
71, 799, 66

∴ So the LCM of the given numbers is 7 x 71 x 799 x 66 = 26208798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26208798

Therefore, the GCF of Fractions 36/497,458/799,214/462 is 2/26208798

Least Common Multiple of 497,799,462 with GCF Formula

Least Common Multiple of 497,799,462 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 497,799,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,799,462) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(497,799,462) x common factors =1 x 7 = 7

LCM(497,799,462) = ( 497 × 799 × 462 ) / 7

LCM(497,799,462) = 183461586 / 7

LCM(497,799,462) = 26208798


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 36/497, 458/799, 214/462

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 36/497, 458/799, 214/462?

Answer: GCF of Numerators as per given numbers 36/497, 458/799, 214/462 is

GCF of Numerators i.e. for 36,458,214 is 2

LCM of denominators i.e. for 497,799,462 is 26208798.

Thus, GCF of Fractions is 2/26208798.Finally, GCF of Fractions for 36/497, 458/799, 214/462 is 2/26208798.