GCD of 627, 728, 442, 600 Calculator

Given Input numbers are 627, 728, 442, 600

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (627, 728, 442, 600) = 1.

Given numbers are 627, 728, 442, 600

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 627, 728, 442, 600

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

Apply this formula for all numbers.

Step1:

LCM(627, 728) = 456456

GCD(627, 728) = ( 627 x 728 ) / 456456

= 627 / 728

= 627

Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 627, 728, 442, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 715, 139, 325
• GCD of 860, 893, 772, 898
• GCD of 875, 893, 801, 457
• GCD of 117, 899, 520, 158
• GCD of 397, 914, 212, 417

Given numbers are 627, 728, 442, 600
The greatest common divisor of numbers 627, 728, 442, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 728, 442, 600 is 1.

1. What is the GCD of 627, 728, 442, 600?

GCD of given numbers 627, 728, 442, 600 is 1

2. How to calculate the greatest common divisor of 627, 728, 442, 600?

We can find the highest common divisor of 627, 728, 442, 600 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 627, 728, 442, 600 i.e 1.

3. How can I use the GCD of 627, 728, 442, 600Calculator?

Out the numbers 627, 728, 442, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.