GCD of 509, 772, 189, 487 Calculator

Given Input numbers are 509, 772, 189, 487

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

GCD of numbers is the greatest common divisor

So, the GCD (509, 772, 189, 487) = 1.

Given numbers are 509, 772, 189, 487

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 772 are 2 x 2 x 193

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 487 are 487

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

Given numbers are 509, 772, 189, 487

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

Apply this formula for all numbers.

Step1:

LCM(509, 772) = 392948

GCD(509, 772) = ( 509 x 772 ) / 392948

= 509 / 772

= 509

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1

So, Greatest Common Divisor of 509, 772, 189, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 427, 158, 305
• GCD of 879, 530, 824, 480
• GCD of 825, 539, 910, 679
• GCD of 358, 603, 639, 649
• GCD of 234, 416, 340, 628

Given numbers are 509, 772, 189, 487
The greatest common divisor of numbers 509, 772, 189, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 772, 189, 487 is 1.

1. What is the GCD of 509, 772, 189, 487?

GCD of given numbers 509, 772, 189, 487 is 1

2. How to calculate the greatest common divisor of 509, 772, 189, 487?

We can find the highest common divisor of 509, 772, 189, 487 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, 772, 189, 487 i.e 1.

3. How can I use the GCD of 509, 772, 189, 487Calculator?

Out the numbers 509, 772, 189, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.