GCD of 654, 792, 282, 165 Calculator

Given Input numbers are 654, 792, 282, 165

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (654, 792, 282, 165) = 3.

Given numbers are 654, 792, 282, 165

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 282 are 2 x 3 x 47

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 654, 792, 282, 165 is 3.

Given numbers are 654, 792, 282, 165

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

Apply this formula for all numbers.

Step1:

LCM(654, 792) = 86328

GCD(654, 792) = ( 654 x 792 ) / 86328

= 654 / 792

= 654

Step2:

LCM(6, 282) = 282

GCD(6, 282) = ( 6 x 282 ) / 282

= 6 / 282

= 6

Step3:

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

= 6 / 165

= 6

So, Greatest Common Divisor of 654, 792, 282, 165 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 468, 636, 447
• GCD of 507, 340, 187, 746
• GCD of 660, 404, 185, 119
• GCD of 439, 819, 342, 451
• GCD of 445, 506, 288, 492

Given numbers are 654, 792, 282, 165
The greatest common divisor of numbers 654, 792, 282, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 792, 282, 165 is 3.

1. What is the GCD of 654, 792, 282, 165?

GCD of given numbers 654, 792, 282, 165 is 3

2. How to calculate the greatest common divisor of 654, 792, 282, 165?

We can find the highest common divisor of 654, 792, 282, 165 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, 792, 282, 165 i.e 3.

3. How can I use the GCD of 654, 792, 282, 165Calculator?

Out the numbers 654, 792, 282, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.