GCD of 324, 314, 660, 772 Calculator

Given Input numbers are 324, 314, 660, 772

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (324, 314, 660, 772) = 2.

Given numbers are 324, 314, 660, 772

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 314 are 2 x 157

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 324, 314, 660, 772 is 2.

Given numbers are 324, 314, 660, 772

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

Apply this formula for all numbers.

Step1:

LCM(324, 314) = 50868

GCD(324, 314) = ( 324 x 314 ) / 50868

= 324 / 314

= 324

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 324, 314, 660, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 555, 242, 423
• GCD of 472, 294, 344, 734
• GCD of 566, 683, 817, 122
• GCD of 223, 276, 289, 243
• GCD of 149, 788, 278, 580

Given numbers are 324, 314, 660, 772
The greatest common divisor of numbers 324, 314, 660, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 314, 660, 772 is 2.

1. What is the GCD of 324, 314, 660, 772?

GCD of given numbers 324, 314, 660, 772 is 2

2. How to calculate the greatest common divisor of 324, 314, 660, 772?

We can find the highest common divisor of 324, 314, 660, 772 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 324, 314, 660, 772 i.e 2.

3. How can I use the GCD of 324, 314, 660, 772Calculator?

Out the numbers 324, 314, 660, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.