GCD of 45, 120, 201, 335 Calculator

Given Input numbers are 45, 120, 201, 335

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 45, 120, 201, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 120, 201, 335 is 1.

Therefore, GCD of numbers 45, 120, 201, 335 is 1

Given Input Data is 45, 120, 201, 335

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 201 is 3 x 67

Prime Factorization of 335 is 5 x 67

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(45, 120) = 360

GCD(45, 120) = ( 45 x 120 ) / 360

GCD(45, 120) = 5400 / 360

GCD(45, 120) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 201

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

LCM(15, 201) = 1005

GCD(15, 201) = ( 15 x 201 ) / 1005

GCD(15, 201) = 3015 / 1005

GCD(15, 201) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 335

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

LCM(3, 335) = 1005

GCD(3, 335) = ( 3 x 335 ) / 1005

GCD(3, 335) = 1005 / 1005

GCD(3, 335) = 1

GCD of 45, 120, 201, 335 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 315, 365, 654
• GCD of 62, 618, 779, 958
• GCD of 70, 144, 157, 284
• GCD of 53, 970, 827, 447
• GCD of 69, 622, 860, 277

1. What is the GCD of 45, 120, 201, 335?

GCD of 45, 120, 201, 335 is 1

2. Where do I get the detailed procedure to find GCD of 45, 120, 201, 335?

You can find a detailed procedure to find GCD of 45, 120, 201, 335 on our page.

3. How to find GCD of 45, 120, 201, 335 on a calculator?

You can find the GCD of 45, 120, 201, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.