GCD of 756, 380, 712, 589 Calculator

Given Input numbers are 756, 380, 712, 589

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

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

GCD of numbers is the greatest common divisor

So, the GCD (756, 380, 712, 589) = 1.

Given numbers are 756, 380, 712, 589

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 589 are 19 x 31

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

Given numbers are 756, 380, 712, 589

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

Apply this formula for all numbers.

Step1:

LCM(756, 380) = 71820

GCD(756, 380) = ( 756 x 380 ) / 71820

= 756 / 380

= 756

Step2:

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

= 4 / 712

= 4

Step3:

LCM(4, 589) = 2356

GCD(4, 589) = ( 4 x 589 ) / 2356

= 4 / 589

= 4

So, Greatest Common Divisor of 756, 380, 712, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 284, 506, 807
• GCD of 639, 860, 647, 296
• GCD of 189, 763, 894, 339
• GCD of 279, 703, 896, 234
• GCD of 438, 670, 891, 517

Given numbers are 756, 380, 712, 589
The greatest common divisor of numbers 756, 380, 712, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 380, 712, 589 is 1.

1. What is the GCD of 756, 380, 712, 589?

GCD of given numbers 756, 380, 712, 589 is 1

2. How to calculate the greatest common divisor of 756, 380, 712, 589?

We can find the highest common divisor of 756, 380, 712, 589 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 756, 380, 712, 589 i.e 1.

3. How can I use the GCD of 756, 380, 712, 589Calculator?

Out the numbers 756, 380, 712, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.