GCD of 312, 165, 702, 584 Calculator

Given Input numbers are 312, 165, 702, 584

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (312, 165, 702, 584) = 1.

Given numbers are 312, 165, 702, 584

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 165 are 3 x 5 x 11

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 312, 165, 702, 584

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

Apply this formula for all numbers.

Step1:

LCM(312, 165) = 17160

GCD(312, 165) = ( 312 x 165 ) / 17160

= 312 / 165

= 312

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 584) = 1752

GCD(3, 584) = ( 3 x 584 ) / 1752

= 3 / 584

= 3

So, Greatest Common Divisor of 312, 165, 702, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 544, 342, 652
• GCD of 239, 770, 117, 895
• GCD of 483, 575, 475, 400
• GCD of 806, 629, 451, 514
• GCD of 833, 354, 395, 927

Given numbers are 312, 165, 702, 584
The greatest common divisor of numbers 312, 165, 702, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 165, 702, 584 is 1.

1. What is the GCD of 312, 165, 702, 584?

GCD of given numbers 312, 165, 702, 584 is 1

2. How to calculate the greatest common divisor of 312, 165, 702, 584?

We can find the highest common divisor of 312, 165, 702, 584 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 312, 165, 702, 584 i.e 1.

3. How can I use the GCD of 312, 165, 702, 584Calculator?

Out the numbers 312, 165, 702, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.