GCD of 689, 504, 132, 756 Calculator

Given Input numbers are 689, 504, 132, 756

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

Divisors of 689 :

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

1, 13, 53, 689

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (689, 504, 132, 756) = 1.

Given numbers are 689, 504, 132, 756

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 689, 504, 132, 756

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

Apply this formula for all numbers.

Step1:

LCM(689, 504) = 347256

GCD(689, 504) = ( 689 x 504 ) / 347256

= 689 / 504

= 689

Step2:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 689, 504, 132, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 322, 671, 769
• GCD of 992, 684, 388, 584
• GCD of 467, 860, 452, 943
• GCD of 837, 401, 230, 283
• GCD of 654, 196, 820, 315

Given numbers are 689, 504, 132, 756
The greatest common divisor of numbers 689, 504, 132, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 504, 132, 756 is 1.

1. What is the GCD of 689, 504, 132, 756?

GCD of given numbers 689, 504, 132, 756 is 1

2. How to calculate the greatest common divisor of 689, 504, 132, 756?

We can find the highest common divisor of 689, 504, 132, 756 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 689, 504, 132, 756 i.e 1.

3. How can I use the GCD of 689, 504, 132, 756Calculator?

Out the numbers 689, 504, 132, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.