GCD of 522, 902, 422, 480 Calculator

Given Input numbers are 522, 902, 422, 480

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (522, 902, 422, 480) = 2.

Given numbers are 522, 902, 422, 480

The list of prime factors of all numbers are

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

Prime factors of 902 are 2 x 11 x 41

Prime factors of 422 are 2 x 211

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 522, 902, 422, 480 is 2.

Given numbers are 522, 902, 422, 480

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

Apply this formula for all numbers.

Step1:

LCM(522, 902) = 235422

GCD(522, 902) = ( 522 x 902 ) / 235422

= 522 / 902

= 522

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 522, 902, 422, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 898, 615, 114
• GCD of 422, 736, 398, 832
• GCD of 131, 738, 159, 867
• GCD of 663, 661, 112, 465
• GCD of 718, 824, 520, 976

Given numbers are 522, 902, 422, 480
The greatest common divisor of numbers 522, 902, 422, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 902, 422, 480 is 2.

1. What is the GCD of 522, 902, 422, 480?

GCD of given numbers 522, 902, 422, 480 is 2

2. How to calculate the greatest common divisor of 522, 902, 422, 480?

We can find the highest common divisor of 522, 902, 422, 480 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, 902, 422, 480 i.e 2.

3. How can I use the GCD of 522, 902, 422, 480Calculator?

Out the numbers 522, 902, 422, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.