GCD of 712, 507, 189, 729 Calculator

Given Input numbers are 712, 507, 189, 729

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

Divisors of 712 :

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

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 189 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (712, 507, 189, 729) = 1.

Given numbers are 712, 507, 189, 729

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

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

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 712, 507, 189, 729

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

Apply this formula for all numbers.

Step1:

LCM(712, 507) = 360984

GCD(712, 507) = ( 712 x 507 ) / 360984

= 712 / 507

= 712

Step2:

LCM(1, 189) = 189

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

= 1 / 189

= 1

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 712, 507, 189, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 194, 620, 225
• GCD of 357, 389, 897, 685
• GCD of 152, 253, 788, 616
• GCD of 836, 376, 826, 950
• GCD of 236, 310, 223, 142

Given numbers are 712, 507, 189, 729
The greatest common divisor of numbers 712, 507, 189, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 507, 189, 729 is 1.

1. What is the GCD of 712, 507, 189, 729?

GCD of given numbers 712, 507, 189, 729 is 1

2. How to calculate the greatest common divisor of 712, 507, 189, 729?

We can find the highest common divisor of 712, 507, 189, 729 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 712, 507, 189, 729 i.e 1.

3. How can I use the GCD of 712, 507, 189, 729Calculator?

Out the numbers 712, 507, 189, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.