GCD of 506, 420, 660, 303 Calculator

Given Input numbers are 506, 420, 660, 303

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (506, 420, 660, 303) = 1.

Given numbers are 506, 420, 660, 303

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 303 are 3 x 101

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

Given numbers are 506, 420, 660, 303

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

Apply this formula for all numbers.

Step1:

LCM(506, 420) = 106260

GCD(506, 420) = ( 506 x 420 ) / 106260

= 506 / 420

= 506

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

= 2 / 303

= 2

So, Greatest Common Divisor of 506, 420, 660, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 413, 863, 707
• GCD of 142, 338, 209, 217
• GCD of 323, 954, 380, 644
• GCD of 160, 290, 754, 147
• GCD of 119, 599, 906, 529

Given numbers are 506, 420, 660, 303
The greatest common divisor of numbers 506, 420, 660, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 420, 660, 303 is 1.

1. What is the GCD of 506, 420, 660, 303?

GCD of given numbers 506, 420, 660, 303 is 1

2. How to calculate the greatest common divisor of 506, 420, 660, 303?

We can find the highest common divisor of 506, 420, 660, 303 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, 420, 660, 303 i.e 1.

3. How can I use the GCD of 506, 420, 660, 303Calculator?

Out the numbers 506, 420, 660, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.