GCD of 201, 135, 72, 821 Calculator

Given Input numbers are 201, 135, 72, 821

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (201, 135, 72, 821) = 1.

Given numbers are 201, 135, 72, 821

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 821 are 821

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

Given numbers are 201, 135, 72, 821

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

Apply this formula for all numbers.

Step1:

LCM(201, 135) = 9045

GCD(201, 135) = ( 201 x 135 ) / 9045

= 201 / 135

= 201

Step2:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3

Step3:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

So, Greatest Common Divisor of 201, 135, 72, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 735, 60, 465
• GCD of 306, 330, 57, 338
• GCD of 813, 517, 11, 893
• GCD of 175, 567, 29, 920
• GCD of 592, 593, 77, 859

Given numbers are 201, 135, 72, 821
The greatest common divisor of numbers 201, 135, 72, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 135, 72, 821 is 1.

1. What is the GCD of 201, 135, 72, 821?

GCD of given numbers 201, 135, 72, 821 is 1

2. How to calculate the greatest common divisor of 201, 135, 72, 821?

We can find the highest common divisor of 201, 135, 72, 821 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, 135, 72, 821 i.e 1.

3. How can I use the GCD of 201, 135, 72, 821Calculator?

Out the numbers 201, 135, 72, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.