GCD of 450, 363, 251, 821 Calculator

Given Input numbers are 450, 363, 251, 821

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 363 :

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

1, 3, 11, 33, 121, 363

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (450, 363, 251, 821) = 1.

Given numbers are 450, 363, 251, 821

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 363 are 3 x 11 x 11

Prime factors of 251 are 251

Prime factors of 821 are 821

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

Given numbers are 450, 363, 251, 821

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

Apply this formula for all numbers.

Step1:

LCM(450, 363) = 54450

GCD(450, 363) = ( 450 x 363 ) / 54450

= 450 / 363

= 450

Step2:

LCM(3, 251) = 753

GCD(3, 251) = ( 3 x 251 ) / 753

= 3 / 251

= 3

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 450, 363, 251, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 404, 100, 142
• GCD of 478, 561, 523, 688
• GCD of 641, 672, 348, 958
• GCD of 708, 637, 733, 585
• GCD of 371, 961, 781, 894

Given numbers are 450, 363, 251, 821
The greatest common divisor of numbers 450, 363, 251, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 363, 251, 821 is 1.

1. What is the GCD of 450, 363, 251, 821?

GCD of given numbers 450, 363, 251, 821 is 1

2. How to calculate the greatest common divisor of 450, 363, 251, 821?

We can find the highest common divisor of 450, 363, 251, 821 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 450, 363, 251, 821 i.e 1.

3. How can I use the GCD of 450, 363, 251, 821Calculator?

Out the numbers 450, 363, 251, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.