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GCD of 462, 135, 993 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 462, 135, 993 quickly. Get the easiest ways to solve the greatest common divisor of 462, 135, 993 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 135, 993 with Factoring?

Given Input numbers are 462, 135, 993

In the factoring method, we have to find the divisors of all numbers

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993


GCD of numbers is the greatest common divisor

So, the GCD (462, 135, 993) = 3.

Find GCD of 462, 135, 993 using Prime Factorization

Given numbers are 462, 135, 993

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 993 are 3 x 331

The highest common occurrence is 31

Therefore, GCD of 462, 135, 993 is 3.

Steps to Calculate GCD of 462, 135, 993 using LCM Formula

Given numbers are 462, 135, 993

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(462, 135) = 20790

GCD(462, 135) = ( 462 x 135 ) / 20790

= 462 / 135

= 462


Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3


So, Greatest Common Divisor of 462, 135, 993 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 135, 993

Given numbers are 462, 135, 993
The greatest common divisor of numbers 462, 135, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 135, 993 is 3.

FAQs on GCD of 462, 135, 993 Calculator

1. What is the GCD of 462, 135, 993?

GCD of given numbers 462, 135, 993 is 3


2. How to calculate the greatest common divisor of 462, 135, 993?

We can find the highest common divisor of 462, 135, 993 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 462, 135, 993 i.e 3.


3. How can I use the GCD of 462, 135, 993Calculator?

Out the numbers 462, 135, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.