GCD of 814, 270, 475, 658 Calculator

Given Input numbers are 814, 270, 475, 658

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

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 814, 270, 475, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 270, 475, 658 is 1.

Therefore, GCD of numbers 814, 270, 475, 658 is 1

Given Input Data is 814, 270, 475, 658

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 658 is 2 x 7 x 47

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(814, 270) = 109890

GCD(814, 270) = ( 814 x 270 ) / 109890

GCD(814, 270) = 219780 / 109890

GCD(814, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 814, 270, 475, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 542, 383, 511
• GCD of 534, 675, 558, 568
• GCD of 293, 900, 518, 345
• GCD of 970, 148, 201, 954
• GCD of 564, 319, 821, 876

1. What is the GCD of 814, 270, 475, 658?

GCD of 814, 270, 475, 658 is 1

2. Where do I get the detailed procedure to find GCD of 814, 270, 475, 658?

You can find a detailed procedure to find GCD of 814, 270, 475, 658 on our page.

3. How to find GCD of 814, 270, 475, 658 on a calculator?

You can find the GCD of 814, 270, 475, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.