GCD of 564, 873, 285, 507 Calculator

Given Input numbers are 564, 873, 285, 507

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

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (564, 873, 285, 507) = 3.

Given numbers are 564, 873, 285, 507

The list of prime factors of all numbers are

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

Prime factors of 873 are 3 x 3 x 97

Prime factors of 285 are 3 x 5 x 19

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 564, 873, 285, 507 is 3.

Given numbers are 564, 873, 285, 507

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

Apply this formula for all numbers.

Step1:

LCM(564, 873) = 164124

GCD(564, 873) = ( 564 x 873 ) / 164124

= 564 / 873

= 564

Step2:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 564, 873, 285, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 600, 537, 800
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• GCD of 838, 674, 129, 387
• GCD of 948, 122, 114, 171
• GCD of 728, 878, 529, 886

Given numbers are 564, 873, 285, 507
The greatest common divisor of numbers 564, 873, 285, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 873, 285, 507 is 3.

1. What is the GCD of 564, 873, 285, 507?

GCD of given numbers 564, 873, 285, 507 is 3

2. How to calculate the greatest common divisor of 564, 873, 285, 507?

We can find the highest common divisor of 564, 873, 285, 507 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 564, 873, 285, 507 i.e 3.

3. How can I use the GCD of 564, 873, 285, 507Calculator?

Out the numbers 564, 873, 285, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.