GCD of 362, 714, 585, 612 Calculator

Given Input numbers are 362, 714, 585, 612

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 714, 585, 612) = 1.

Given numbers are 362, 714, 585, 612

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 585 are 3 x 3 x 5 x 13

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

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

Given numbers are 362, 714, 585, 612

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

Apply this formula for all numbers.

Step1:

LCM(362, 714) = 129234

GCD(362, 714) = ( 362 x 714 ) / 129234

= 362 / 714

= 362

Step2:

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

= 2 / 585

= 2

Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

So, Greatest Common Divisor of 362, 714, 585, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 626, 691, 778
• GCD of 980, 304, 603, 605
• GCD of 401, 134, 734, 834
• GCD of 681, 242, 121, 395
• GCD of 329, 571, 145, 270

Given numbers are 362, 714, 585, 612
The greatest common divisor of numbers 362, 714, 585, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 714, 585, 612 is 1.

1. What is the GCD of 362, 714, 585, 612?

GCD of given numbers 362, 714, 585, 612 is 1

2. How to calculate the greatest common divisor of 362, 714, 585, 612?

We can find the highest common divisor of 362, 714, 585, 612 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 362, 714, 585, 612 i.e 1.

3. How can I use the GCD of 362, 714, 585, 612Calculator?

Out the numbers 362, 714, 585, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.