GCD of 111, 897, 20, 760 Calculator

Given Input numbers are 111, 897, 20, 760

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 111, 897, 20, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 897, 20, 760 is 1.

Therefore, GCD of numbers 111, 897, 20, 760 is 1

Given Input Data is 111, 897, 20, 760

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(111, 897) = 33189

GCD(111, 897) = ( 111 x 897 ) / 33189

GCD(111, 897) = 99567 / 33189

GCD(111, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 111, 897, 20, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 654, 47, 570
• GCD of 683, 176, 27, 546
• GCD of 465, 717, 46, 587
• GCD of 177, 560, 88, 138
• GCD of 262, 325, 18, 729

1. What is the GCD of 111, 897, 20, 760?

GCD of 111, 897, 20, 760 is 1

2. Where do I get the detailed procedure to find GCD of 111, 897, 20, 760?

You can find a detailed procedure to find GCD of 111, 897, 20, 760 on our page.

3. How to find GCD of 111, 897, 20, 760 on a calculator?

You can find the GCD of 111, 897, 20, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.