GCD of 284, 464, 522, 650 Calculator

Given Input numbers are 284, 464, 522, 650

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (284, 464, 522, 650) = 2.

Given numbers are 284, 464, 522, 650

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 284, 464, 522, 650 is 2.

Given numbers are 284, 464, 522, 650

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

Apply this formula for all numbers.

Step1:

LCM(284, 464) = 32944

GCD(284, 464) = ( 284 x 464 ) / 32944

= 284 / 464

= 284

Step2:

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

= 4 / 522

= 4

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 284, 464, 522, 650 is 2

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Given numbers are 284, 464, 522, 650
The greatest common divisor of numbers 284, 464, 522, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 464, 522, 650 is 2.

1. What is the GCD of 284, 464, 522, 650?

GCD of given numbers 284, 464, 522, 650 is 2

2. How to calculate the greatest common divisor of 284, 464, 522, 650?

We can find the highest common divisor of 284, 464, 522, 650 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 284, 464, 522, 650 i.e 2.

3. How can I use the GCD of 284, 464, 522, 650Calculator?

Out the numbers 284, 464, 522, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.