GCD of 201, 998, 825 Calculator

Given Input numbers are 201, 998, 825

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (201, 998, 825) = 1.

Given numbers are 201, 998, 825

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 998 are 2 x 499

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 201, 998, 825

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

Apply this formula for all numbers.

Step1:

LCM(201, 998) = 200598

GCD(201, 998) = ( 201 x 998 ) / 200598

= 201 / 998

= 201

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 201, 998, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 792, 906
• GCD of 381, 195, 453
• GCD of 913, 942, 206
• GCD of 382, 398, 362
• GCD of 222, 216, 499

Given numbers are 201, 998, 825
The greatest common divisor of numbers 201, 998, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 998, 825 is 1.

1. What is the GCD of 201, 998, 825?

GCD of given numbers 201, 998, 825 is 1

2. How to calculate the greatest common divisor of 201, 998, 825?

We can find the highest common divisor of 201, 998, 825 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 201, 998, 825 i.e 1.

3. How can I use the GCD of 201, 998, 825Calculator?

Out the numbers 201, 998, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.