GCD of 660, 690, 234, 408 Calculator

Given Input numbers are 660, 690, 234, 408

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (660, 690, 234, 408) = 6.

Given numbers are 660, 690, 234, 408

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 690 are 2 x 3 x 5 x 23

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 660, 690, 234, 408 is 6.

Given numbers are 660, 690, 234, 408

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

Apply this formula for all numbers.

Step1:

LCM(660, 690) = 15180

GCD(660, 690) = ( 660 x 690 ) / 15180

= 660 / 690

= 660

Step2:

LCM(30, 234) = 1170

GCD(30, 234) = ( 30 x 234 ) / 1170

= 30 / 234

= 30

Step3:

LCM(6, 408) = 408

GCD(6, 408) = ( 6 x 408 ) / 408

= 6 / 408

= 6

So, Greatest Common Divisor of 660, 690, 234, 408 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 234, 907, 668
• GCD of 415, 364, 516, 327
• GCD of 471, 219, 455, 568
• GCD of 615, 800, 607, 456
• GCD of 931, 761, 819, 425

Given numbers are 660, 690, 234, 408
The greatest common divisor of numbers 660, 690, 234, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 690, 234, 408 is 6.

1. What is the GCD of 660, 690, 234, 408?

GCD of given numbers 660, 690, 234, 408 is 6

2. How to calculate the greatest common divisor of 660, 690, 234, 408?

We can find the highest common divisor of 660, 690, 234, 408 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, 690, 234, 408 i.e 6.

3. How can I use the GCD of 660, 690, 234, 408Calculator?

Out the numbers 660, 690, 234, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.