GCD of 900, 364, 145, 566 Calculator

Given Input numbers are 900, 364, 145, 566

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (900, 364, 145, 566) = 1.

Given numbers are 900, 364, 145, 566

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 145 are 5 x 29

Prime factors of 566 are 2 x 283

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

Given numbers are 900, 364, 145, 566

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

Apply this formula for all numbers.

Step1:

LCM(900, 364) = 81900

GCD(900, 364) = ( 900 x 364 ) / 81900

= 900 / 364

= 900

Step2:

LCM(4, 145) = 580

GCD(4, 145) = ( 4 x 145 ) / 580

= 4 / 145

= 4

Step3:

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

= 1 / 566

= 1

So, Greatest Common Divisor of 900, 364, 145, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 914, 344, 344
• GCD of 454, 128, 876, 912
• GCD of 518, 204, 367, 532
• GCD of 128, 846, 440, 398
• GCD of 523, 667, 210, 966

Given numbers are 900, 364, 145, 566
The greatest common divisor of numbers 900, 364, 145, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 364, 145, 566 is 1.

1. What is the GCD of 900, 364, 145, 566?

GCD of given numbers 900, 364, 145, 566 is 1

2. How to calculate the greatest common divisor of 900, 364, 145, 566?

We can find the highest common divisor of 900, 364, 145, 566 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 900, 364, 145, 566 i.e 1.

3. How can I use the GCD of 900, 364, 145, 566Calculator?

Out the numbers 900, 364, 145, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.