GCD of 324, 466, 474, 689 Calculator

Given Input numbers are 324, 466, 474, 689

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (324, 466, 474, 689) = 1.

Given numbers are 324, 466, 474, 689

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 466 are 2 x 233

Prime factors of 474 are 2 x 3 x 79

Prime factors of 689 are 13 x 53

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

Given numbers are 324, 466, 474, 689

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

Apply this formula for all numbers.

Step1:

LCM(324, 466) = 75492

GCD(324, 466) = ( 324 x 466 ) / 75492

= 324 / 466

= 324

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 324, 466, 474, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 659, 481, 501
• GCD of 304, 561, 306, 101
• GCD of 518, 690, 654, 548
• GCD of 153, 757, 562, 940
• GCD of 274, 155, 480, 323

Given numbers are 324, 466, 474, 689
The greatest common divisor of numbers 324, 466, 474, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 466, 474, 689 is 1.

1. What is the GCD of 324, 466, 474, 689?

GCD of given numbers 324, 466, 474, 689 is 1

2. How to calculate the greatest common divisor of 324, 466, 474, 689?

We can find the highest common divisor of 324, 466, 474, 689 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, 466, 474, 689 i.e 1.

3. How can I use the GCD of 324, 466, 474, 689Calculator?

Out the numbers 324, 466, 474, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.