GCD of 472, 752, 204, 509 Calculator

Given Input numbers are 472, 752, 204, 509

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (472, 752, 204, 509) = 1.

Given numbers are 472, 752, 204, 509

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 509 are 509

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

Given numbers are 472, 752, 204, 509

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

Apply this formula for all numbers.

Step1:

LCM(472, 752) = 44368

GCD(472, 752) = ( 472 x 752 ) / 44368

= 472 / 752

= 472

Step2:

LCM(8, 204) = 408

GCD(8, 204) = ( 8 x 204 ) / 408

= 8 / 204

= 8

Step3:

LCM(4, 509) = 2036

GCD(4, 509) = ( 4 x 509 ) / 2036

= 4 / 509

= 4

So, Greatest Common Divisor of 472, 752, 204, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 974, 972, 888
• GCD of 747, 894, 528, 420
• GCD of 715, 408, 403, 740
• GCD of 268, 991, 501, 662
• GCD of 808, 155, 229, 855

Given numbers are 472, 752, 204, 509
The greatest common divisor of numbers 472, 752, 204, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 752, 204, 509 is 1.

1. What is the GCD of 472, 752, 204, 509?

GCD of given numbers 472, 752, 204, 509 is 1

2. How to calculate the greatest common divisor of 472, 752, 204, 509?

We can find the highest common divisor of 472, 752, 204, 509 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 472, 752, 204, 509 i.e 1.

3. How can I use the GCD of 472, 752, 204, 509Calculator?

Out the numbers 472, 752, 204, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.