GCD of 31, 203, 762, 100 Calculator

Given Input numbers are 31, 203, 762, 100

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 31, 203, 762, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 203, 762, 100 is 1.

Therefore, GCD of numbers 31, 203, 762, 100 is 1

Given Input Data is 31, 203, 762, 100

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

Prime Factorization of 31 is 31

Prime Factorization of 203 is 7 x 29

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(31, 203) = 6293

GCD(31, 203) = ( 31 x 203 ) / 6293

GCD(31, 203) = 6293 / 6293

GCD(31, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 31, 203, 762, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 643, 587, 425
• GCD of 34, 339, 816, 355
• GCD of 50, 243, 901, 204
• GCD of 20, 506, 568, 899
• GCD of 38, 650, 120, 104

1. What is the GCD of 31, 203, 762, 100?

GCD of 31, 203, 762, 100 is 1

2. Where do I get the detailed procedure to find GCD of 31, 203, 762, 100?

You can find a detailed procedure to find GCD of 31, 203, 762, 100 on our page.

3. How to find GCD of 31, 203, 762, 100 on a calculator?

You can find the GCD of 31, 203, 762, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.