GCD of 420, 450, 322, 827 Calculator

Given Input numbers are 420, 450, 322, 827

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

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 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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (420, 450, 322, 827) = 1.

Given numbers are 420, 450, 322, 827

The list of prime factors of all numbers are

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

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

Prime factors of 322 are 2 x 7 x 23

Prime factors of 827 are 827

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

Given numbers are 420, 450, 322, 827

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

Apply this formula for all numbers.

Step1:

LCM(420, 450) = 6300

GCD(420, 450) = ( 420 x 450 ) / 6300

= 420 / 450

= 420

Step2:

LCM(30, 322) = 4830

GCD(30, 322) = ( 30 x 322 ) / 4830

= 30 / 322

= 30

Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

So, Greatest Common Divisor of 420, 450, 322, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 745, 834, 367
• GCD of 174, 768, 708, 220
• GCD of 717, 167, 139, 569
• GCD of 596, 322, 778, 512
• GCD of 679, 920, 638, 526

Given numbers are 420, 450, 322, 827
The greatest common divisor of numbers 420, 450, 322, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 450, 322, 827 is 1.

1. What is the GCD of 420, 450, 322, 827?

GCD of given numbers 420, 450, 322, 827 is 1

2. How to calculate the greatest common divisor of 420, 450, 322, 827?

We can find the highest common divisor of 420, 450, 322, 827 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 420, 450, 322, 827 i.e 1.

3. How can I use the GCD of 420, 450, 322, 827Calculator?

Out the numbers 420, 450, 322, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.