GCD of 522, 477, 294, 990 Calculator

Given Input numbers are 522, 477, 294, 990

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 477 :

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

1, 3, 9, 53, 159, 477

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 (522, 477, 294, 990) = 3.

Given numbers are 522, 477, 294, 990

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 477 are 3 x 3 x 53

Prime factors of 294 are 2 x 3 x 7 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 522, 477, 294, 990 is 3.

Given numbers are 522, 477, 294, 990

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

Apply this formula for all numbers.

Step1:

LCM(522, 477) = 27666

GCD(522, 477) = ( 522 x 477 ) / 27666

= 522 / 477

= 522

Step2:

LCM(9, 294) = 882

GCD(9, 294) = ( 9 x 294 ) / 882

= 9 / 294

= 9

Step3:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

So, Greatest Common Divisor of 522, 477, 294, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 281, 285, 167
• GCD of 325, 534, 647, 690
• GCD of 856, 619, 755, 640
• GCD of 209, 541, 806, 895
• GCD of 792, 382, 575, 292

Given numbers are 522, 477, 294, 990
The greatest common divisor of numbers 522, 477, 294, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 477, 294, 990 is 3.

1. What is the GCD of 522, 477, 294, 990?

GCD of given numbers 522, 477, 294, 990 is 3

2. How to calculate the greatest common divisor of 522, 477, 294, 990?

We can find the highest common divisor of 522, 477, 294, 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 522, 477, 294, 990 i.e 3.

3. How can I use the GCD of 522, 477, 294, 990Calculator?

Out the numbers 522, 477, 294, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.