GCD of 660, 609, 657, 234 Calculator

Given Input numbers are 660, 609, 657, 234

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (660, 609, 657, 234) = 3.

Given numbers are 660, 609, 657, 234

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 609 are 3 x 7 x 29

Prime factors of 657 are 3 x 3 x 73

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 660, 609, 657, 234 is 3.

Given numbers are 660, 609, 657, 234

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

Apply this formula for all numbers.

Step1:

LCM(660, 609) = 133980

GCD(660, 609) = ( 660 x 609 ) / 133980

= 660 / 609

= 660

Step2:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 660, 609, 657, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 154, 215, 983
• GCD of 900, 801, 172, 701
• GCD of 895, 897, 350, 943
• GCD of 503, 858, 835, 109
• GCD of 443, 729, 741, 856

Given numbers are 660, 609, 657, 234
The greatest common divisor of numbers 660, 609, 657, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 609, 657, 234 is 3.

1. What is the GCD of 660, 609, 657, 234?

GCD of given numbers 660, 609, 657, 234 is 3

2. How to calculate the greatest common divisor of 660, 609, 657, 234?

We can find the highest common divisor of 660, 609, 657, 234 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 660, 609, 657, 234 i.e 3.

3. How can I use the GCD of 660, 609, 657, 234Calculator?

Out the numbers 660, 609, 657, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.