GCD of 464, 648, 22, 918 Calculator

Given Input numbers are 464, 648, 22, 918

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (464, 648, 22, 918) = 2.

Given numbers are 464, 648, 22, 918

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 22 are 2 x 11

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 464, 648, 22, 918 is 2.

Given numbers are 464, 648, 22, 918

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

Apply this formula for all numbers.

Step1:

LCM(464, 648) = 37584

GCD(464, 648) = ( 464 x 648 ) / 37584

= 464 / 648

= 464

Step2:

LCM(8, 22) = 88

GCD(8, 22) = ( 8 x 22 ) / 88

= 8 / 22

= 8

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 464, 648, 22, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 622, 25, 267
• GCD of 666, 317, 83, 966
• GCD of 301, 541, 89, 387
• GCD of 593, 837, 83, 225
• GCD of 183, 176, 28, 787

Given numbers are 464, 648, 22, 918
The greatest common divisor of numbers 464, 648, 22, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 648, 22, 918 is 2.

1. What is the GCD of 464, 648, 22, 918?

GCD of given numbers 464, 648, 22, 918 is 2

2. How to calculate the greatest common divisor of 464, 648, 22, 918?

We can find the highest common divisor of 464, 648, 22, 918 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 464, 648, 22, 918 i.e 2.

3. How can I use the GCD of 464, 648, 22, 918Calculator?

Out the numbers 464, 648, 22, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.