GCD of 504, 423, 689, 505 Calculator

Given Input numbers are 504, 423, 689, 505

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (504, 423, 689, 505) = 1.

Given numbers are 504, 423, 689, 505

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 423 are 3 x 3 x 47

Prime factors of 689 are 13 x 53

Prime factors of 505 are 5 x 101

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

Given numbers are 504, 423, 689, 505

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

Apply this formula for all numbers.

Step1:

LCM(504, 423) = 23688

GCD(504, 423) = ( 504 x 423 ) / 23688

= 504 / 423

= 504

Step2:

LCM(9, 689) = 6201

GCD(9, 689) = ( 9 x 689 ) / 6201

= 9 / 689

= 9

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 504, 423, 689, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 510, 210, 544
• GCD of 358, 888, 229, 412
• GCD of 661, 850, 384, 336
• GCD of 507, 646, 405, 100
• GCD of 299, 574, 374, 120

Given numbers are 504, 423, 689, 505
The greatest common divisor of numbers 504, 423, 689, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 423, 689, 505 is 1.

1. What is the GCD of 504, 423, 689, 505?

GCD of given numbers 504, 423, 689, 505 is 1

2. How to calculate the greatest common divisor of 504, 423, 689, 505?

We can find the highest common divisor of 504, 423, 689, 505 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 504, 423, 689, 505 i.e 1.

3. How can I use the GCD of 504, 423, 689, 505Calculator?

Out the numbers 504, 423, 689, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.