GCD of 900, 478, 952, 452 Calculator

Given Input numbers are 900, 478, 952, 452

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (900, 478, 952, 452) = 2.

Given numbers are 900, 478, 952, 452

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 478 are 2 x 239

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 900, 478, 952, 452 is 2.

Given numbers are 900, 478, 952, 452

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

Apply this formula for all numbers.

Step1:

LCM(900, 478) = 215100

GCD(900, 478) = ( 900 x 478 ) / 215100

= 900 / 478

= 900

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 900, 478, 952, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 137, 888, 724
• GCD of 978, 743, 417, 423
• GCD of 108, 961, 212, 778
• GCD of 986, 658, 131, 434
• GCD of 317, 626, 665, 667

Given numbers are 900, 478, 952, 452
The greatest common divisor of numbers 900, 478, 952, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 478, 952, 452 is 2.

1. What is the GCD of 900, 478, 952, 452?

GCD of given numbers 900, 478, 952, 452 is 2

2. How to calculate the greatest common divisor of 900, 478, 952, 452?

We can find the highest common divisor of 900, 478, 952, 452 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, 478, 952, 452 i.e 2.

3. How can I use the GCD of 900, 478, 952, 452Calculator?

Out the numbers 900, 478, 952, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.