GCD of 31, 902, 742, 786 Calculator

Given Input numbers are 31, 902, 742, 786

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 31, 902, 742, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 902, 742, 786 is 1.

Therefore, GCD of numbers 31, 902, 742, 786 is 1

Given Input Data is 31, 902, 742, 786

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

Prime Factorization of 31 is 31

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 786 is 2 x 3 x 131

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, 902) = 27962

GCD(31, 902) = ( 31 x 902 ) / 27962

GCD(31, 902) = 27962 / 27962

GCD(31, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 31, 902, 742, 786 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 745, 304, 439
• GCD of 46, 947, 985, 900
• GCD of 11, 570, 824, 990
• GCD of 21, 635, 720, 970
• GCD of 33, 426, 197, 447

1. What is the GCD of 31, 902, 742, 786?

GCD of 31, 902, 742, 786 is 1

2. Where do I get the detailed procedure to find GCD of 31, 902, 742, 786?

You can find a detailed procedure to find GCD of 31, 902, 742, 786 on our page.

3. How to find GCD of 31, 902, 742, 786 on a calculator?

You can find the GCD of 31, 902, 742, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.