GCD of 648, 663, 267, 906 Calculator

Given Input numbers are 648, 663, 267, 906

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

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (648, 663, 267, 906) = 3.

Given numbers are 648, 663, 267, 906

The list of prime factors of all numbers are

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

Prime factors of 663 are 3 x 13 x 17

Prime factors of 267 are 3 x 89

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 648, 663, 267, 906 is 3.

Given numbers are 648, 663, 267, 906

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

Apply this formula for all numbers.

Step1:

LCM(648, 663) = 143208

GCD(648, 663) = ( 648 x 663 ) / 143208

= 648 / 663

= 648

Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

So, Greatest Common Divisor of 648, 663, 267, 906 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 403, 291, 567
• GCD of 146, 514, 333, 632
• GCD of 902, 112, 346, 309
• GCD of 319, 192, 832, 875
• GCD of 341, 201, 848, 160

Given numbers are 648, 663, 267, 906
The greatest common divisor of numbers 648, 663, 267, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 663, 267, 906 is 3.

1. What is the GCD of 648, 663, 267, 906?

GCD of given numbers 648, 663, 267, 906 is 3

2. How to calculate the greatest common divisor of 648, 663, 267, 906?

We can find the highest common divisor of 648, 663, 267, 906 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 648, 663, 267, 906 i.e 3.

3. How can I use the GCD of 648, 663, 267, 906Calculator?

Out the numbers 648, 663, 267, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.