GCD of 900, 264, 224, 867 Calculator

Given Input numbers are 900, 264, 224, 867

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (900, 264, 224, 867) = 1.

Given numbers are 900, 264, 224, 867

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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 867 are 3 x 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 900, 264, 224, 867

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

Apply this formula for all numbers.

Step1:

LCM(900, 264) = 19800

GCD(900, 264) = ( 900 x 264 ) / 19800

= 900 / 264

= 900

Step2:

LCM(12, 224) = 672

GCD(12, 224) = ( 12 x 224 ) / 672

= 12 / 224

= 12

Step3:

LCM(4, 867) = 3468

GCD(4, 867) = ( 4 x 867 ) / 3468

= 4 / 867

= 4

So, Greatest Common Divisor of 900, 264, 224, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 797, 336, 531
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Given numbers are 900, 264, 224, 867
The greatest common divisor of numbers 900, 264, 224, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 264, 224, 867 is 1.

1. What is the GCD of 900, 264, 224, 867?

GCD of given numbers 900, 264, 224, 867 is 1

2. How to calculate the greatest common divisor of 900, 264, 224, 867?

We can find the highest common divisor of 900, 264, 224, 867 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, 264, 224, 867 i.e 1.

3. How can I use the GCD of 900, 264, 224, 867Calculator?

Out the numbers 900, 264, 224, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.