GCD of 462, 780, 477, 522 Calculator

Given Input numbers are 462, 780, 477, 522

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 477 :

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

1, 3, 9, 53, 159, 477

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 780, 477, 522) = 3.

Given numbers are 462, 780, 477, 522

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 477 are 3 x 3 x 53

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

The highest common occurrence is 3¹

Therefore, GCD of 462, 780, 477, 522 is 3.

Given numbers are 462, 780, 477, 522

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

Apply this formula for all numbers.

Step1:

LCM(462, 780) = 60060

GCD(462, 780) = ( 462 x 780 ) / 60060

= 462 / 780

= 462

Step2:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

Step3:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

So, Greatest Common Divisor of 462, 780, 477, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 879, 994, 201
• GCD of 305, 298, 602, 954
• GCD of 529, 620, 858, 269
• GCD of 894, 967, 682, 545
• GCD of 884, 200, 382, 507

Given numbers are 462, 780, 477, 522
The greatest common divisor of numbers 462, 780, 477, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 780, 477, 522 is 3.

1. What is the GCD of 462, 780, 477, 522?

GCD of given numbers 462, 780, 477, 522 is 3

2. How to calculate the greatest common divisor of 462, 780, 477, 522?

We can find the highest common divisor of 462, 780, 477, 522 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 462, 780, 477, 522 i.e 3.

3. How can I use the GCD of 462, 780, 477, 522Calculator?

Out the numbers 462, 780, 477, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.