GCD of 990, 477, 849, 574 Calculator

Given Input numbers are 990, 477, 849, 574

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

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 574 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (990, 477, 849, 574) = 1.

Given numbers are 990, 477, 849, 574

The list of prime factors of all numbers are

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

Prime factors of 477 are 3 x 3 x 53

Prime factors of 849 are 3 x 283

Prime factors of 574 are 2 x 7 x 41

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

Given numbers are 990, 477, 849, 574

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

Apply this formula for all numbers.

Step1:

LCM(990, 477) = 52470

GCD(990, 477) = ( 990 x 477 ) / 52470

= 990 / 477

= 990

Step2:

LCM(9, 849) = 2547

GCD(9, 849) = ( 9 x 849 ) / 2547

= 9 / 849

= 9

Step3:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

So, Greatest Common Divisor of 990, 477, 849, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 164, 146, 855
• GCD of 243, 337, 612, 741
• GCD of 510, 707, 515, 275
• GCD of 957, 393, 632, 647
• GCD of 779, 238, 209, 176

Given numbers are 990, 477, 849, 574
The greatest common divisor of numbers 990, 477, 849, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 477, 849, 574 is 1.

1. What is the GCD of 990, 477, 849, 574?

GCD of given numbers 990, 477, 849, 574 is 1

2. How to calculate the greatest common divisor of 990, 477, 849, 574?

We can find the highest common divisor of 990, 477, 849, 574 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 990, 477, 849, 574 i.e 1.

3. How can I use the GCD of 990, 477, 849, 574Calculator?

Out the numbers 990, 477, 849, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.