GCD of 225, 204, 989, 838 Calculator

Given Input numbers are 225, 204, 989, 838

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (225, 204, 989, 838) = 1.

Given numbers are 225, 204, 989, 838

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 989 are 23 x 43

Prime factors of 838 are 2 x 419

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

Given numbers are 225, 204, 989, 838

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

Apply this formula for all numbers.

Step1:

LCM(225, 204) = 15300

GCD(225, 204) = ( 225 x 204 ) / 15300

= 225 / 204

= 225

Step2:

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

= 3 / 989

= 3

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 225, 204, 989, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 999, 914, 848
• GCD of 274, 890, 746, 216
• GCD of 905, 735, 875, 587
• GCD of 350, 520, 453, 516
• GCD of 414, 560, 522, 181

Given numbers are 225, 204, 989, 838
The greatest common divisor of numbers 225, 204, 989, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 204, 989, 838 is 1.

1. What is the GCD of 225, 204, 989, 838?

GCD of given numbers 225, 204, 989, 838 is 1

2. How to calculate the greatest common divisor of 225, 204, 989, 838?

We can find the highest common divisor of 225, 204, 989, 838 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, 204, 989, 838 i.e 1.

3. How can I use the GCD of 225, 204, 989, 838Calculator?

Out the numbers 225, 204, 989, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.