GCD of 507, 221, 845, 572 Calculator

Given Input numbers are 507, 221, 845, 572

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

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (507, 221, 845, 572) = 13.

Given numbers are 507, 221, 845, 572

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 221 are 13 x 17

Prime factors of 845 are 5 x 13 x 13

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 13¹

Therefore, GCD of 507, 221, 845, 572 is 13.

Given numbers are 507, 221, 845, 572

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

Apply this formula for all numbers.

Step1:

LCM(507, 221) = 8619

GCD(507, 221) = ( 507 x 221 ) / 8619

= 507 / 221

= 507

Step2:

LCM(13, 845) = 845

GCD(13, 845) = ( 13 x 845 ) / 845

= 13 / 845

= 13

Step3:

LCM(13, 572) = 572

GCD(13, 572) = ( 13 x 572 ) / 572

= 13 / 572

= 13

So, Greatest Common Divisor of 507, 221, 845, 572 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 345, 170, 311
• GCD of 160, 728, 211, 542
• GCD of 670, 295, 853, 243
• GCD of 811, 479, 157, 642
• GCD of 154, 578, 167, 433

Given numbers are 507, 221, 845, 572
The greatest common divisor of numbers 507, 221, 845, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 221, 845, 572 is 13.

1. What is the GCD of 507, 221, 845, 572?

GCD of given numbers 507, 221, 845, 572 is 13

2. How to calculate the greatest common divisor of 507, 221, 845, 572?

We can find the highest common divisor of 507, 221, 845, 572 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 507, 221, 845, 572 i.e 13.

3. How can I use the GCD of 507, 221, 845, 572Calculator?

Out the numbers 507, 221, 845, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.