GCD of 506, 572, 209, 660 Calculator

Given Input numbers are 506, 572, 209, 660

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (506, 572, 209, 660) = 11.

Given numbers are 506, 572, 209, 660

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

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

Prime factors of 209 are 11 x 19

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 11¹

Therefore, GCD of 506, 572, 209, 660 is 11.

Given numbers are 506, 572, 209, 660

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

Apply this formula for all numbers.

Step1:

LCM(506, 572) = 13156

GCD(506, 572) = ( 506 x 572 ) / 13156

= 506 / 572

= 506

Step2:

LCM(22, 209) = 418

GCD(22, 209) = ( 22 x 209 ) / 418

= 22 / 209

= 22

Step3:

LCM(11, 660) = 660

GCD(11, 660) = ( 11 x 660 ) / 660

= 11 / 660

= 11

So, Greatest Common Divisor of 506, 572, 209, 660 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 912, 256, 911
• GCD of 350, 921, 703, 509
• GCD of 817, 654, 847, 301
• GCD of 729, 820, 242, 284
• GCD of 982, 546, 717, 221

Given numbers are 506, 572, 209, 660
The greatest common divisor of numbers 506, 572, 209, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 572, 209, 660 is 11.

1. What is the GCD of 506, 572, 209, 660?

GCD of given numbers 506, 572, 209, 660 is 11

2. How to calculate the greatest common divisor of 506, 572, 209, 660?

We can find the highest common divisor of 506, 572, 209, 660 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 506, 572, 209, 660 i.e 11.

3. How can I use the GCD of 506, 572, 209, 660Calculator?

Out the numbers 506, 572, 209, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.