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GCD of 462, 708, 633, 399 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, 708, 633, 399 quickly. Get the easiest ways to solve the greatest common divisor of 462, 708, 633, 399 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 708, 633, 399 with Factoring?

Given Input numbers are 462, 708, 633, 399

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399


GCD of numbers is the greatest common divisor

So, the GCD (462, 708, 633, 399) = 3.

Find GCD of 462, 708, 633, 399 using Prime Factorization

Given numbers are 462, 708, 633, 399

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 633 are 3 x 211

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 31

Therefore, GCD of 462, 708, 633, 399 is 3.

Steps to Calculate GCD of 462, 708, 633, 399 using LCM Formula

Given numbers are 462, 708, 633, 399

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

Apply this formula for all numbers.

Step1:

LCM(462, 708) = 54516

GCD(462, 708) = ( 462 x 708 ) / 54516

= 462 / 708

= 462


Step2:

LCM(6, 633) = 1266

GCD(6, 633) = ( 6 x 633 ) / 1266

= 6 / 633

= 6


Step3:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3


So, Greatest Common Divisor of 462, 708, 633, 399 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 708, 633, 399

Given numbers are 462, 708, 633, 399
The greatest common divisor of numbers 462, 708, 633, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 708, 633, 399 is 3.

FAQs on GCD of 462, 708, 633, 399 Calculator

1. What is the GCD of 462, 708, 633, 399?

GCD of given numbers 462, 708, 633, 399 is 3


2. How to calculate the greatest common divisor of 462, 708, 633, 399?

We can find the highest common divisor of 462, 708, 633, 399 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, 708, 633, 399 i.e 3.


3. How can I use the GCD of 462, 708, 633, 399Calculator?

Out the numbers 462, 708, 633, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.