GCD of 225, 195, 828, 400 Calculator

Given Input numbers are 225, 195, 828, 400

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 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (225, 195, 828, 400) = 1.

Given numbers are 225, 195, 828, 400

The list of prime factors of all numbers are

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

Prime factors of 195 are 3 x 5 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 225, 195, 828, 400

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

Apply this formula for all numbers.

Step1:

LCM(225, 195) = 2925

GCD(225, 195) = ( 225 x 195 ) / 2925

= 225 / 195

= 225

Step2:

LCM(15, 828) = 4140

GCD(15, 828) = ( 15 x 828 ) / 4140

= 15 / 828

= 15

Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

So, Greatest Common Divisor of 225, 195, 828, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 353, 872, 461
• GCD of 907, 935, 563, 339
• GCD of 317, 883, 428, 863
• GCD of 736, 472, 548, 274
• GCD of 485, 168, 886, 170

Given numbers are 225, 195, 828, 400
The greatest common divisor of numbers 225, 195, 828, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 195, 828, 400 is 1.

1. What is the GCD of 225, 195, 828, 400?

GCD of given numbers 225, 195, 828, 400 is 1

2. How to calculate the greatest common divisor of 225, 195, 828, 400?

We can find the highest common divisor of 225, 195, 828, 400 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, 195, 828, 400 i.e 1.

3. How can I use the GCD of 225, 195, 828, 400Calculator?

Out the numbers 225, 195, 828, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.