GCD of 326, 318, 74, 648 Calculator

Given Input numbers are 326, 318, 74, 648

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

Divisors of 326 :

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

1, 2, 163, 326

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (326, 318, 74, 648) = 2.

Given numbers are 326, 318, 74, 648

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

Prime factors of 318 are 2 x 3 x 53

Prime factors of 74 are 2 x 37

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 326, 318, 74, 648 is 2.

Given numbers are 326, 318, 74, 648

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

Apply this formula for all numbers.

Step1:

LCM(326, 318) = 51834

GCD(326, 318) = ( 326 x 318 ) / 51834

= 326 / 318

= 326

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 326, 318, 74, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 424, 18, 977
• GCD of 572, 428, 86, 972
• GCD of 864, 971, 11, 729
• GCD of 214, 312, 87, 782
• GCD of 916, 754, 36, 567

Given numbers are 326, 318, 74, 648
The greatest common divisor of numbers 326, 318, 74, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 318, 74, 648 is 2.

1. What is the GCD of 326, 318, 74, 648?

GCD of given numbers 326, 318, 74, 648 is 2

2. How to calculate the greatest common divisor of 326, 318, 74, 648?

We can find the highest common divisor of 326, 318, 74, 648 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 326, 318, 74, 648 i.e 2.

3. How can I use the GCD of 326, 318, 74, 648Calculator?

Out the numbers 326, 318, 74, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.