GCD of 909, 909, 228, 900 Calculator

Given Input numbers are 909, 909, 228, 900

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

GCD of numbers is the greatest common divisor

So, the GCD (909, 909, 228, 900) = 3.

Given numbers are 909, 909, 228, 900

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 909 are 3 x 3 x 101

Prime factors of 228 are 2 x 2 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 909, 909, 228, 900 is 3.

Given numbers are 909, 909, 228, 900

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

Apply this formula for all numbers.

Step1:

LCM(909, 909) = 909

GCD(909, 909) = ( 909 x 909 ) / 909

= 909 / 909

= 909

Step2:

LCM(909, 228) = 69084

GCD(909, 228) = ( 909 x 228 ) / 69084

= 909 / 228

= 909

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 909, 909, 228, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 865, 533, 793
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• GCD of 778, 525, 622, 277
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• GCD of 484, 145, 224, 366

Given numbers are 909, 909, 228, 900
The greatest common divisor of numbers 909, 909, 228, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 909, 228, 900 is 3.

1. What is the GCD of 909, 909, 228, 900?

GCD of given numbers 909, 909, 228, 900 is 3

2. How to calculate the greatest common divisor of 909, 909, 228, 900?

We can find the highest common divisor of 909, 909, 228, 900 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 909, 909, 228, 900 i.e 3.

3. How can I use the GCD of 909, 909, 228, 900Calculator?

Out the numbers 909, 909, 228, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.