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GCD of 506, 463, 660, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 506, 463, 660, 359 quickly. Get the easiest ways to solve the greatest common divisor of 506, 463, 660, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 463, 660, 359 with Factoring?

Given Input numbers are 506, 463, 660, 359

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (506, 463, 660, 359) = 1.

Find GCD of 506, 463, 660, 359 using Prime Factorization

Given numbers are 506, 463, 660, 359

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 463 are 463

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 359 are 359

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

Steps to Calculate GCD of 506, 463, 660, 359 using LCM Formula

Given numbers are 506, 463, 660, 359

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

Apply this formula for all numbers.

Step1:

LCM(506, 463) = 234278

GCD(506, 463) = ( 506 x 463 ) / 234278

= 506 / 463

= 506


Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


So, Greatest Common Divisor of 506, 463, 660, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 463, 660, 359

Given numbers are 506, 463, 660, 359
The greatest common divisor of numbers 506, 463, 660, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 463, 660, 359 is 1.

FAQs on GCD of 506, 463, 660, 359 Calculator

1. What is the GCD of 506, 463, 660, 359?

GCD of given numbers 506, 463, 660, 359 is 1


2. How to calculate the greatest common divisor of 506, 463, 660, 359?

We can find the highest common divisor of 506, 463, 660, 359 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 506, 463, 660, 359 i.e 1.


3. How can I use the GCD of 506, 463, 660, 359Calculator?

Out the numbers 506, 463, 660, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.