GCD of 924, 789, 135, 654 Calculator

Given Input numbers are 924, 789, 135, 654

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 654 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 789, 135, 654) = 3.

Given numbers are 924, 789, 135, 654

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 789 are 3 x 263

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 924, 789, 135, 654 is 3.

Given numbers are 924, 789, 135, 654

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

Apply this formula for all numbers.

Step1:

LCM(924, 789) = 243012

GCD(924, 789) = ( 924 x 789 ) / 243012

= 924 / 789

= 924

Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 924, 789, 135, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 579, 844, 493
• GCD of 894, 682, 619, 488
• GCD of 816, 675, 424, 809
• GCD of 241, 683, 188, 746
• GCD of 242, 216, 110, 853

Given numbers are 924, 789, 135, 654
The greatest common divisor of numbers 924, 789, 135, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 789, 135, 654 is 3.

1. What is the GCD of 924, 789, 135, 654?

GCD of given numbers 924, 789, 135, 654 is 3

2. How to calculate the greatest common divisor of 924, 789, 135, 654?

We can find the highest common divisor of 924, 789, 135, 654 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 924, 789, 135, 654 i.e 3.

3. How can I use the GCD of 924, 789, 135, 654Calculator?

Out the numbers 924, 789, 135, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.