GCD of 612, 654, 522, 171 Calculator

Given Input numbers are 612, 654, 522, 171

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 654 :

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

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (612, 654, 522, 171) = 3.

Given numbers are 612, 654, 522, 171

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 654 are 2 x 3 x 109

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 612, 654, 522, 171 is 3.

Given numbers are 612, 654, 522, 171

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

Apply this formula for all numbers.

Step1:

LCM(612, 654) = 66708

GCD(612, 654) = ( 612 x 654 ) / 66708

= 612 / 654

= 612

Step2:

LCM(6, 522) = 522

GCD(6, 522) = ( 6 x 522 ) / 522

= 6 / 522

= 6

Step3:

LCM(6, 171) = 342

GCD(6, 171) = ( 6 x 171 ) / 342

= 6 / 171

= 6

So, Greatest Common Divisor of 612, 654, 522, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 630, 386, 984
• GCD of 505, 160, 633, 890
• GCD of 890, 327, 589, 420
• GCD of 282, 118, 618, 845
• GCD of 147, 983, 984, 996

Given numbers are 612, 654, 522, 171
The greatest common divisor of numbers 612, 654, 522, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 654, 522, 171 is 3.

1. What is the GCD of 612, 654, 522, 171?

GCD of given numbers 612, 654, 522, 171 is 3

2. How to calculate the greatest common divisor of 612, 654, 522, 171?

We can find the highest common divisor of 612, 654, 522, 171 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 612, 654, 522, 171 i.e 3.

3. How can I use the GCD of 612, 654, 522, 171Calculator?

Out the numbers 612, 654, 522, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.