GCD of 264, 824, 458, 360 Calculator

Given Input numbers are 264, 824, 458, 360

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (264, 824, 458, 360) = 2.

Given numbers are 264, 824, 458, 360

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 458 are 2 x 229

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 264, 824, 458, 360 is 2.

Given numbers are 264, 824, 458, 360

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

Apply this formula for all numbers.

Step1:

LCM(264, 824) = 27192

GCD(264, 824) = ( 264 x 824 ) / 27192

= 264 / 824

= 264

Step2:

LCM(8, 458) = 1832

GCD(8, 458) = ( 8 x 458 ) / 1832

= 8 / 458

= 8

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 264, 824, 458, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 935, 747, 558
• GCD of 331, 370, 538, 545
• GCD of 182, 885, 439, 757
• GCD of 417, 193, 317, 481
• GCD of 271, 978, 700, 871

Given numbers are 264, 824, 458, 360
The greatest common divisor of numbers 264, 824, 458, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 824, 458, 360 is 2.

1. What is the GCD of 264, 824, 458, 360?

GCD of given numbers 264, 824, 458, 360 is 2

2. How to calculate the greatest common divisor of 264, 824, 458, 360?

We can find the highest common divisor of 264, 824, 458, 360 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 264, 824, 458, 360 i.e 2.

3. How can I use the GCD of 264, 824, 458, 360Calculator?

Out the numbers 264, 824, 458, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.