GCD of 153, 648, 264 Calculator

Given Input numbers are 153, 648, 264

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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 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

GCD of numbers is the greatest common divisor

So, the GCD (153, 648, 264) = 3.

Given numbers are 153, 648, 264

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

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

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

The highest common occurrence is 3¹

Therefore, GCD of 153, 648, 264 is 3.

Given numbers are 153, 648, 264

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

Apply this formula for all numbers.

Step1:

LCM(153, 648) = 11016

GCD(153, 648) = ( 153 x 648 ) / 11016

= 153 / 648

= 153

Step2:

LCM(9, 264) = 792

GCD(9, 264) = ( 9 x 264 ) / 792

= 9 / 264

= 9

So, Greatest Common Divisor of 153, 648, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 993, 832
• GCD of 827, 658, 716
• GCD of 271, 188, 334
• GCD of 226, 699, 722
• GCD of 905, 178, 212

Given numbers are 153, 648, 264
The greatest common divisor of numbers 153, 648, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 648, 264 is 3.

1. What is the GCD of 153, 648, 264?

GCD of given numbers 153, 648, 264 is 3

2. How to calculate the greatest common divisor of 153, 648, 264?

We can find the highest common divisor of 153, 648, 264 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 153, 648, 264 i.e 3.

3. How can I use the GCD of 153, 648, 264Calculator?

Out the numbers 153, 648, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.