GCD of 31, 140, 814, 526 Calculator

Given Input numbers are 31, 140, 814, 526

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 31, 140, 814, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 140, 814, 526 is 1.

Therefore, GCD of numbers 31, 140, 814, 526 is 1

Given Input Data is 31, 140, 814, 526

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

Prime Factorization of 31 is 31

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 526 is 2 x 263

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, 140) = 4340

GCD(31, 140) = ( 31 x 140 ) / 4340

GCD(31, 140) = 4340 / 4340

GCD(31, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 31, 140, 814, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 483, 462, 682
• GCD of 35, 662, 732, 492
• GCD of 99, 599, 759, 216
• GCD of 33, 876, 576, 593
• GCD of 46, 264, 669, 725

1. What is the GCD of 31, 140, 814, 526?

GCD of 31, 140, 814, 526 is 1

2. Where do I get the detailed procedure to find GCD of 31, 140, 814, 526?

You can find a detailed procedure to find GCD of 31, 140, 814, 526 on our page.

3. How to find GCD of 31, 140, 814, 526 on a calculator?

You can find the GCD of 31, 140, 814, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.