GCD of 77, 110, 180, 201 Calculator

Given Input numbers are 77, 110, 180, 201

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 201

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

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 77, 110, 180, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 110, 180, 201 is 1.

Therefore, GCD of numbers 77, 110, 180, 201 is 1

Given Input Data is 77, 110, 180, 201

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 201 is 3 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(77, 110) = 770

GCD(77, 110) = ( 77 x 110 ) / 770

GCD(77, 110) = 8470 / 770

GCD(77, 110) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 180

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

LCM(11, 180) = 1980

GCD(11, 180) = ( 11 x 180 ) / 1980

GCD(11, 180) = 1980 / 1980

GCD(11, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 77, 110, 180, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 398, 625, 844
• GCD of 15, 997, 138, 966
• GCD of 87, 239, 421, 533
• GCD of 46, 165, 428, 216
• GCD of 86, 414, 434, 286

1. What is the GCD of 77, 110, 180, 201?

GCD of 77, 110, 180, 201 is 1

2. Where do I get the detailed procedure to find GCD of 77, 110, 180, 201?

You can find a detailed procedure to find GCD of 77, 110, 180, 201 on our page.

3. How to find GCD of 77, 110, 180, 201 on a calculator?

You can find the GCD of 77, 110, 180, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.