GCD of 509, 202, 936, 660 Calculator

Given Input numbers are 509, 202, 936, 660

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 (509, 202, 936, 660) = 1.

Given numbers are 509, 202, 936, 660

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 202 are 2 x 101

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

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

Given numbers are 509, 202, 936, 660

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

Apply this formula for all numbers.

Step1:

LCM(509, 202) = 102818

GCD(509, 202) = ( 509 x 202 ) / 102818

= 509 / 202

= 509

Step2:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 509, 202, 936, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 464, 803, 517
• GCD of 326, 642, 503, 985
• GCD of 646, 888, 237, 592
• GCD of 587, 548, 208, 775
• GCD of 236, 526, 294, 149

Given numbers are 509, 202, 936, 660
The greatest common divisor of numbers 509, 202, 936, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 202, 936, 660 is 1.

1. What is the GCD of 509, 202, 936, 660?

GCD of given numbers 509, 202, 936, 660 is 1

2. How to calculate the greatest common divisor of 509, 202, 936, 660?

We can find the highest common divisor of 509, 202, 936, 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 509, 202, 936, 660 i.e 1.

3. How can I use the GCD of 509, 202, 936, 660Calculator?

Out the numbers 509, 202, 936, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.