GCD of 180, 668, 566, 692 Calculator

Given Input numbers are 180, 668, 566, 692

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (180, 668, 566, 692) = 2.

Given numbers are 180, 668, 566, 692

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 668 are 2 x 2 x 167

Prime factors of 566 are 2 x 283

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 180, 668, 566, 692 is 2.

Given numbers are 180, 668, 566, 692

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

Apply this formula for all numbers.

Step1:

LCM(180, 668) = 30060

GCD(180, 668) = ( 180 x 668 ) / 30060

= 180 / 668

= 180

Step2:

LCM(4, 566) = 1132

GCD(4, 566) = ( 4 x 566 ) / 1132

= 4 / 566

= 4

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 180, 668, 566, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 381, 125, 310
• GCD of 675, 268, 930, 517
• GCD of 406, 750, 855, 621
• GCD of 105, 192, 376, 694
• GCD of 278, 404, 870, 738

Given numbers are 180, 668, 566, 692
The greatest common divisor of numbers 180, 668, 566, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 668, 566, 692 is 2.

1. What is the GCD of 180, 668, 566, 692?

GCD of given numbers 180, 668, 566, 692 is 2

2. How to calculate the greatest common divisor of 180, 668, 566, 692?

We can find the highest common divisor of 180, 668, 566, 692 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 180, 668, 566, 692 i.e 2.

3. How can I use the GCD of 180, 668, 566, 692Calculator?

Out the numbers 180, 668, 566, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.