GCD of 900, 116, 878, 522 Calculator

Given Input numbers are 900, 116, 878, 522

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

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 (900, 116, 878, 522) = 2.

Given numbers are 900, 116, 878, 522

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 116 are 2 x 2 x 29

Prime factors of 878 are 2 x 439

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

The highest common occurrence is 2¹

Therefore, GCD of 900, 116, 878, 522 is 2.

Given numbers are 900, 116, 878, 522

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

Apply this formula for all numbers.

Step1:

LCM(900, 116) = 26100

GCD(900, 116) = ( 900 x 116 ) / 26100

= 900 / 116

= 900

Step2:

LCM(4, 878) = 1756

GCD(4, 878) = ( 4 x 878 ) / 1756

= 4 / 878

= 4

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 900, 116, 878, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 596, 777, 772
• GCD of 170, 506, 317, 403
• GCD of 395, 924, 548, 379
• GCD of 639, 423, 905, 100
• GCD of 935, 557, 833, 899

Given numbers are 900, 116, 878, 522
The greatest common divisor of numbers 900, 116, 878, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 116, 878, 522 is 2.

1. What is the GCD of 900, 116, 878, 522?

GCD of given numbers 900, 116, 878, 522 is 2

2. How to calculate the greatest common divisor of 900, 116, 878, 522?

We can find the highest common divisor of 900, 116, 878, 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 900, 116, 878, 522 i.e 2.

3. How can I use the GCD of 900, 116, 878, 522Calculator?

Out the numbers 900, 116, 878, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.