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GCD of 604, 692, 462 Calculator

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


Online GCD Calculator is useful to find the GCD of 604, 692, 462 quickly. Get the easiest ways to solve the greatest common divisor of 604, 692, 462 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 604, 692, 462 with Factoring?

Given Input numbers are 604, 692, 462

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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


GCD of numbers is the greatest common divisor

So, the GCD (604, 692, 462) = 2.

Find GCD of 604, 692, 462 using Prime Factorization

Given numbers are 604, 692, 462

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 692 are 2 x 2 x 173

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

The highest common occurrence is 21

Therefore, GCD of 604, 692, 462 is 2.

Steps to Calculate GCD of 604, 692, 462 using LCM Formula

Given numbers are 604, 692, 462

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

Apply this formula for all numbers.

Step1:

LCM(604, 692) = 104492

GCD(604, 692) = ( 604 x 692 ) / 104492

= 604 / 692

= 604


Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4


So, Greatest Common Divisor of 604, 692, 462 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 604, 692, 462

Given numbers are 604, 692, 462
The greatest common divisor of numbers 604, 692, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 692, 462 is 2.

FAQs on GCD of 604, 692, 462 Calculator

1. What is the GCD of 604, 692, 462?

GCD of given numbers 604, 692, 462 is 2


2. How to calculate the greatest common divisor of 604, 692, 462?

We can find the highest common divisor of 604, 692, 462 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 604, 692, 462 i.e 2.


3. How can I use the GCD of 604, 692, 462Calculator?

Out the numbers 604, 692, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.