GCD of 225, 522, 992, 564 Calculator

Given Input numbers are 225, 522, 992, 564

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (225, 522, 992, 564) = 1.

Given numbers are 225, 522, 992, 564

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 225, 522, 992, 564

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

Apply this formula for all numbers.

Step1:

LCM(225, 522) = 13050

GCD(225, 522) = ( 225 x 522 ) / 13050

= 225 / 522

= 225

Step2:

LCM(9, 992) = 8928

GCD(9, 992) = ( 9 x 992 ) / 8928

= 9 / 992

= 9

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 225, 522, 992, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 281, 438, 660
• GCD of 614, 304, 820, 411
• GCD of 403, 632, 316, 931
• GCD of 964, 592, 950, 376
• GCD of 365, 709, 844, 858

Given numbers are 225, 522, 992, 564
The greatest common divisor of numbers 225, 522, 992, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 522, 992, 564 is 1.

1. What is the GCD of 225, 522, 992, 564?

GCD of given numbers 225, 522, 992, 564 is 1

2. How to calculate the greatest common divisor of 225, 522, 992, 564?

We can find the highest common divisor of 225, 522, 992, 564 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 225, 522, 992, 564 i.e 1.

3. How can I use the GCD of 225, 522, 992, 564Calculator?

Out the numbers 225, 522, 992, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.