GCD of 654, 336, 891, 636 Calculator

Given Input numbers are 654, 336, 891, 636

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (654, 336, 891, 636) = 3.

Given numbers are 654, 336, 891, 636

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 654, 336, 891, 636 is 3.

Given numbers are 654, 336, 891, 636

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

Apply this formula for all numbers.

Step1:

LCM(654, 336) = 36624

GCD(654, 336) = ( 654 x 336 ) / 36624

= 654 / 336

= 654

Step2:

LCM(6, 891) = 1782

GCD(6, 891) = ( 6 x 891 ) / 1782

= 6 / 891

= 6

Step3:

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

= 3 / 636

= 3

So, Greatest Common Divisor of 654, 336, 891, 636 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 426, 221, 684
• GCD of 355, 354, 632, 108
• GCD of 467, 793, 775, 383
• GCD of 171, 631, 418, 435
• GCD of 650, 112, 143, 193

Given numbers are 654, 336, 891, 636
The greatest common divisor of numbers 654, 336, 891, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 336, 891, 636 is 3.

1. What is the GCD of 654, 336, 891, 636?

GCD of given numbers 654, 336, 891, 636 is 3

2. How to calculate the greatest common divisor of 654, 336, 891, 636?

We can find the highest common divisor of 654, 336, 891, 636 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 654, 336, 891, 636 i.e 3.

3. How can I use the GCD of 654, 336, 891, 636Calculator?

Out the numbers 654, 336, 891, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.