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GCD of 462, 642, 308, 189 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, 642, 308, 189 quickly. Get the easiest ways to solve the greatest common divisor of 462, 642, 308, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 642, 308, 189 with Factoring?

Given Input numbers are 462, 642, 308, 189

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (462, 642, 308, 189) = 1.

Find GCD of 462, 642, 308, 189 using Prime Factorization

Given numbers are 462, 642, 308, 189

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 189 are 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 462, 642, 308, 189 using LCM Formula

Given numbers are 462, 642, 308, 189

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

Apply this formula for all numbers.

Step1:

LCM(462, 642) = 49434

GCD(462, 642) = ( 462 x 642 ) / 49434

= 462 / 642

= 462


Step2:

LCM(6, 308) = 924

GCD(6, 308) = ( 6 x 308 ) / 924

= 6 / 308

= 6


Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2


So, Greatest Common Divisor of 462, 642, 308, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 642, 308, 189

Given numbers are 462, 642, 308, 189
The greatest common divisor of numbers 462, 642, 308, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 642, 308, 189 is 1.

FAQs on GCD of 462, 642, 308, 189 Calculator

1. What is the GCD of 462, 642, 308, 189?

GCD of given numbers 462, 642, 308, 189 is 1


2. How to calculate the greatest common divisor of 462, 642, 308, 189?

We can find the highest common divisor of 462, 642, 308, 189 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, 642, 308, 189 i.e 1.


3. How can I use the GCD of 462, 642, 308, 189Calculator?

Out the numbers 462, 642, 308, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.