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GCD of 492, 687, 369, 638 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 687, 369, 638 quickly. Get the easiest ways to solve the greatest common divisor of 492, 687, 369, 638 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 687, 369, 638 with Factoring?

Given Input numbers are 492, 687, 369, 638

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638


GCD of numbers is the greatest common divisor

So, the GCD (492, 687, 369, 638) = 1.

Find GCD of 492, 687, 369, 638 using Prime Factorization

Given numbers are 492, 687, 369, 638

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 687 are 3 x 229

Prime factors of 369 are 3 x 3 x 41

Prime factors of 638 are 2 x 11 x 29

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

Steps to Calculate GCD of 492, 687, 369, 638 using LCM Formula

Given numbers are 492, 687, 369, 638

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

Apply this formula for all numbers.

Step1:

LCM(492, 687) = 112668

GCD(492, 687) = ( 492 x 687 ) / 112668

= 492 / 687

= 492


Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3


Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3


So, Greatest Common Divisor of 492, 687, 369, 638 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 687, 369, 638

Given numbers are 492, 687, 369, 638
The greatest common divisor of numbers 492, 687, 369, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 687, 369, 638 is 1.

FAQs on GCD of 492, 687, 369, 638 Calculator

1. What is the GCD of 492, 687, 369, 638?

GCD of given numbers 492, 687, 369, 638 is 1


2. How to calculate the greatest common divisor of 492, 687, 369, 638?

We can find the highest common divisor of 492, 687, 369, 638 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 492, 687, 369, 638 i.e 1.


3. How can I use the GCD of 492, 687, 369, 638Calculator?

Out the numbers 492, 687, 369, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.