GCD of 312, 567, 738, 326 Calculator

Given Input numbers are 312, 567, 738, 326

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

GCD of numbers is the greatest common divisor

So, the GCD (312, 567, 738, 326) = 1.

Given numbers are 312, 567, 738, 326

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 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 326 are 2 x 163

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

Given numbers are 312, 567, 738, 326

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

Apply this formula for all numbers.

Step1:

LCM(312, 567) = 58968

GCD(312, 567) = ( 312 x 567 ) / 58968

= 312 / 567

= 312

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 326) = 978

GCD(3, 326) = ( 3 x 326 ) / 978

= 3 / 326

= 3

So, Greatest Common Divisor of 312, 567, 738, 326 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 778, 951, 382
• GCD of 788, 782, 261, 556
• GCD of 567, 895, 719, 847
• GCD of 694, 294, 645, 124
• GCD of 288, 225, 889, 222

Given numbers are 312, 567, 738, 326
The greatest common divisor of numbers 312, 567, 738, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 567, 738, 326 is 1.

1. What is the GCD of 312, 567, 738, 326?

GCD of given numbers 312, 567, 738, 326 is 1

2. How to calculate the greatest common divisor of 312, 567, 738, 326?

We can find the highest common divisor of 312, 567, 738, 326 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, 567, 738, 326 i.e 1.

3. How can I use the GCD of 312, 567, 738, 326Calculator?

Out the numbers 312, 567, 738, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.