GCD of 466, 648, 468, 272 Calculator

Given Input numbers are 466, 648, 468, 272

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

Divisors of 466 :

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

1, 2, 233, 466

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (466, 648, 468, 272) = 2.

Given numbers are 466, 648, 468, 272

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 466, 648, 468, 272 is 2.

Given numbers are 466, 648, 468, 272

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

Apply this formula for all numbers.

Step1:

LCM(466, 648) = 150984

GCD(466, 648) = ( 466 x 648 ) / 150984

= 466 / 648

= 466

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 466, 648, 468, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 481, 495, 216
• GCD of 642, 268, 815, 482
• GCD of 294, 561, 891, 917
• GCD of 599, 386, 863, 354
• GCD of 685, 278, 762, 431

Given numbers are 466, 648, 468, 272
The greatest common divisor of numbers 466, 648, 468, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 648, 468, 272 is 2.

1. What is the GCD of 466, 648, 468, 272?

GCD of given numbers 466, 648, 468, 272 is 2

2. How to calculate the greatest common divisor of 466, 648, 468, 272?

We can find the highest common divisor of 466, 648, 468, 272 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 466, 648, 468, 272 i.e 2.

3. How can I use the GCD of 466, 648, 468, 272Calculator?

Out the numbers 466, 648, 468, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.