GCD of 465, 582, 369, 339 Calculator

Given Input numbers are 465, 582, 369, 339

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

GCD of numbers is the greatest common divisor

So, the GCD (465, 582, 369, 339) = 3.

Given numbers are 465, 582, 369, 339

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 582 are 2 x 3 x 97

Prime factors of 369 are 3 x 3 x 41

Prime factors of 339 are 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 465, 582, 369, 339 is 3.

Given numbers are 465, 582, 369, 339

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

Apply this formula for all numbers.

Step1:

LCM(465, 582) = 90210

GCD(465, 582) = ( 465 x 582 ) / 90210

= 465 / 582

= 465

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

So, Greatest Common Divisor of 465, 582, 369, 339 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 265, 807, 386
• GCD of 478, 869, 214, 380
• GCD of 664, 698, 905, 987
• GCD of 888, 782, 967, 319
• GCD of 948, 605, 788, 353

Given numbers are 465, 582, 369, 339
The greatest common divisor of numbers 465, 582, 369, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 582, 369, 339 is 3.

1. What is the GCD of 465, 582, 369, 339?

GCD of given numbers 465, 582, 369, 339 is 3

2. How to calculate the greatest common divisor of 465, 582, 369, 339?

We can find the highest common divisor of 465, 582, 369, 339 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 465, 582, 369, 339 i.e 3.

3. How can I use the GCD of 465, 582, 369, 339Calculator?

Out the numbers 465, 582, 369, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.