GCD of 690, 461, 566, 180 Calculator

Given Input numbers are 690, 461, 566, 180

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

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 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 566 :

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

1, 2, 283, 566

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 461, 566, 180) = 1.

Given numbers are 690, 461, 566, 180

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 461 are 461

Prime factors of 566 are 2 x 283

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 690, 461, 566, 180

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

Apply this formula for all numbers.

Step1:

LCM(690, 461) = 318090

GCD(690, 461) = ( 690 x 461 ) / 318090

= 690 / 461

= 690

Step2:

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

= 1 / 566

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 690, 461, 566, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 951, 896, 867
• GCD of 425, 333, 479, 501
• GCD of 410, 612, 475, 195
• GCD of 615, 769, 137, 577
• GCD of 328, 775, 691, 863

Given numbers are 690, 461, 566, 180
The greatest common divisor of numbers 690, 461, 566, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 461, 566, 180 is 1.

1. What is the GCD of 690, 461, 566, 180?

GCD of given numbers 690, 461, 566, 180 is 1

2. How to calculate the greatest common divisor of 690, 461, 566, 180?

We can find the highest common divisor of 690, 461, 566, 180 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 690, 461, 566, 180 i.e 1.

3. How can I use the GCD of 690, 461, 566, 180Calculator?

Out the numbers 690, 461, 566, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.