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GCD of 462, 422, 109, 662 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, 422, 109, 662 quickly. Get the easiest ways to solve the greatest common divisor of 462, 422, 109, 662 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 422, 109, 662 with Factoring?

Given Input numbers are 462, 422, 109, 662

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662


GCD of numbers is the greatest common divisor

So, the GCD (462, 422, 109, 662) = 1.

Find GCD of 462, 422, 109, 662 using Prime Factorization

Given numbers are 462, 422, 109, 662

The list of prime factors of all numbers are

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

Prime factors of 422 are 2 x 211

Prime factors of 109 are 109

Prime factors of 662 are 2 x 331

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

Steps to Calculate GCD of 462, 422, 109, 662 using LCM Formula

Given numbers are 462, 422, 109, 662

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

Apply this formula for all numbers.

Step1:

LCM(462, 422) = 97482

GCD(462, 422) = ( 462 x 422 ) / 97482

= 462 / 422

= 462


Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2


Step3:

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

= 1 / 662

= 1


So, Greatest Common Divisor of 462, 422, 109, 662 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 422, 109, 662

Given numbers are 462, 422, 109, 662
The greatest common divisor of numbers 462, 422, 109, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 422, 109, 662 is 1.

FAQs on GCD of 462, 422, 109, 662 Calculator

1. What is the GCD of 462, 422, 109, 662?

GCD of given numbers 462, 422, 109, 662 is 1


2. How to calculate the greatest common divisor of 462, 422, 109, 662?

We can find the highest common divisor of 462, 422, 109, 662 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, 422, 109, 662 i.e 1.


3. How can I use the GCD of 462, 422, 109, 662Calculator?

Out the numbers 462, 422, 109, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.