GCD of 510, 162, 530, 689 Calculator

Given Input numbers are 510, 162, 530, 689

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (510, 162, 530, 689) = 1.

Given numbers are 510, 162, 530, 689

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 530 are 2 x 5 x 53

Prime factors of 689 are 13 x 53

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

Given numbers are 510, 162, 530, 689

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

Apply this formula for all numbers.

Step1:

LCM(510, 162) = 13770

GCD(510, 162) = ( 510 x 162 ) / 13770

= 510 / 162

= 510

Step2:

LCM(6, 530) = 1590

GCD(6, 530) = ( 6 x 530 ) / 1590

= 6 / 530

= 6

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 510, 162, 530, 689 is 1

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Given numbers are 510, 162, 530, 689
The greatest common divisor of numbers 510, 162, 530, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 162, 530, 689 is 1.

1. What is the GCD of 510, 162, 530, 689?

GCD of given numbers 510, 162, 530, 689 is 1

2. How to calculate the greatest common divisor of 510, 162, 530, 689?

We can find the highest common divisor of 510, 162, 530, 689 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 510, 162, 530, 689 i.e 1.

3. How can I use the GCD of 510, 162, 530, 689Calculator?

Out the numbers 510, 162, 530, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.