GCD of 450, 870, 428, 323 Calculator

Given Input numbers are 450, 870, 428, 323

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (450, 870, 428, 323) = 1.

Given numbers are 450, 870, 428, 323

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 870 are 2 x 3 x 5 x 29

Prime factors of 428 are 2 x 2 x 107

Prime factors of 323 are 17 x 19

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

Given numbers are 450, 870, 428, 323

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

Apply this formula for all numbers.

Step1:

LCM(450, 870) = 13050

GCD(450, 870) = ( 450 x 870 ) / 13050

= 450 / 870

= 450

Step2:

LCM(30, 428) = 6420

GCD(30, 428) = ( 30 x 428 ) / 6420

= 30 / 428

= 30

Step3:

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

= 2 / 323

= 2

So, Greatest Common Divisor of 450, 870, 428, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 459, 411, 549
• GCD of 161, 239, 247, 720
• GCD of 697, 343, 439, 977
• GCD of 344, 529, 818, 908
• GCD of 976, 262, 744, 580

Given numbers are 450, 870, 428, 323
The greatest common divisor of numbers 450, 870, 428, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 870, 428, 323 is 1.

1. What is the GCD of 450, 870, 428, 323?

GCD of given numbers 450, 870, 428, 323 is 1

2. How to calculate the greatest common divisor of 450, 870, 428, 323?

We can find the highest common divisor of 450, 870, 428, 323 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, 870, 428, 323 i.e 1.

3. How can I use the GCD of 450, 870, 428, 323Calculator?

Out the numbers 450, 870, 428, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.