GCD of 363, 423, 820, 456 Calculator

Given Input numbers are 363, 423, 820, 456

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (363, 423, 820, 456) = 1.

Given numbers are 363, 423, 820, 456

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 423 are 3 x 3 x 47

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Given numbers are 363, 423, 820, 456

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

Apply this formula for all numbers.

Step1:

LCM(363, 423) = 51183

GCD(363, 423) = ( 363 x 423 ) / 51183

= 363 / 423

= 363

Step2:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3

Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

So, Greatest Common Divisor of 363, 423, 820, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 881, 697, 153
• GCD of 758, 290, 319, 826
• GCD of 502, 324, 136, 680
• GCD of 400, 889, 214, 256
• GCD of 504, 970, 519, 399

Given numbers are 363, 423, 820, 456
The greatest common divisor of numbers 363, 423, 820, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 423, 820, 456 is 1.

1. What is the GCD of 363, 423, 820, 456?

GCD of given numbers 363, 423, 820, 456 is 1

2. How to calculate the greatest common divisor of 363, 423, 820, 456?

We can find the highest common divisor of 363, 423, 820, 456 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 363, 423, 820, 456 i.e 1.

3. How can I use the GCD of 363, 423, 820, 456Calculator?

Out the numbers 363, 423, 820, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.