GCD of 705, 612, 589, 920 Calculator

Given Input numbers are 705, 612, 589, 920

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 589 :

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

1, 19, 31, 589

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (705, 612, 589, 920) = 1.

Given numbers are 705, 612, 589, 920

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 589 are 19 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 705, 612, 589, 920

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

Apply this formula for all numbers.

Step1:

LCM(705, 612) = 143820

GCD(705, 612) = ( 705 x 612 ) / 143820

= 705 / 612

= 705

Step2:

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

= 3 / 589

= 3

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 705, 612, 589, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 691, 322, 221
• GCD of 720, 186, 292, 382
• GCD of 530, 364, 961, 130
• GCD of 175, 459, 569, 903
• GCD of 154, 255, 700, 725

Given numbers are 705, 612, 589, 920
The greatest common divisor of numbers 705, 612, 589, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 612, 589, 920 is 1.

1. What is the GCD of 705, 612, 589, 920?

GCD of given numbers 705, 612, 589, 920 is 1

2. How to calculate the greatest common divisor of 705, 612, 589, 920?

We can find the highest common divisor of 705, 612, 589, 920 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 705, 612, 589, 920 i.e 1.

3. How can I use the GCD of 705, 612, 589, 920Calculator?

Out the numbers 705, 612, 589, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.