GCD of 225, 114, 900, 369 Calculator

Given Input numbers are 225, 114, 900, 369

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (225, 114, 900, 369) = 3.

Given numbers are 225, 114, 900, 369

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 225, 114, 900, 369 is 3.

Given numbers are 225, 114, 900, 369

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

Apply this formula for all numbers.

Step1:

LCM(225, 114) = 8550

GCD(225, 114) = ( 225 x 114 ) / 8550

= 225 / 114

= 225

Step2:

LCM(3, 900) = 900

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

= 3 / 900

= 3

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 225, 114, 900, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 635, 147, 193
• GCD of 328, 129, 338, 311
• GCD of 792, 501, 575, 721
• GCD of 393, 256, 321, 213
• GCD of 737, 672, 195, 347

Given numbers are 225, 114, 900, 369
The greatest common divisor of numbers 225, 114, 900, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 114, 900, 369 is 3.

1. What is the GCD of 225, 114, 900, 369?

GCD of given numbers 225, 114, 900, 369 is 3

2. How to calculate the greatest common divisor of 225, 114, 900, 369?

We can find the highest common divisor of 225, 114, 900, 369 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 225, 114, 900, 369 i.e 3.

3. How can I use the GCD of 225, 114, 900, 369Calculator?

Out the numbers 225, 114, 900, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.