GCD of 487, 574, 364, 990 Calculator

Given Input numbers are 487, 574, 364, 990

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

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (487, 574, 364, 990) = 1.

Given numbers are 487, 574, 364, 990

The list of prime factors of all numbers are

Prime factors of 487 are 487

Prime factors of 574 are 2 x 7 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 487, 574, 364, 990

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

Apply this formula for all numbers.

Step1:

LCM(487, 574) = 279538

GCD(487, 574) = ( 487 x 574 ) / 279538

= 487 / 574

= 487

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 487, 574, 364, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 949, 231, 129
• GCD of 955, 252, 250, 825
• GCD of 598, 195, 177, 167
• GCD of 731, 561, 226, 167
• GCD of 611, 797, 722, 200

Given numbers are 487, 574, 364, 990
The greatest common divisor of numbers 487, 574, 364, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 487, 574, 364, 990 is 1.

1. What is the GCD of 487, 574, 364, 990?

GCD of given numbers 487, 574, 364, 990 is 1

2. How to calculate the greatest common divisor of 487, 574, 364, 990?

We can find the highest common divisor of 487, 574, 364, 990 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 487, 574, 364, 990 i.e 1.

3. How can I use the GCD of 487, 574, 364, 990Calculator?

Out the numbers 487, 574, 364, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.