GCD of 814, 632, 471, 401 Calculator

Given Input numbers are 814, 632, 471, 401

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 814, 632, 471, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 632, 471, 401 is 1.

Therefore, GCD of numbers 814, 632, 471, 401 is 1

Given Input Data is 814, 632, 471, 401

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 471 is 3 x 157

Prime Factorization of 401 is 401

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, 632) = 257224

GCD(814, 632) = ( 814 x 632 ) / 257224

GCD(814, 632) = 514448 / 257224

GCD(814, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 814, 632, 471, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 103, 439, 783
• GCD of 451, 678, 737, 704
• GCD of 736, 558, 128, 928
• GCD of 406, 184, 626, 475
• GCD of 833, 299, 192, 923

1. What is the GCD of 814, 632, 471, 401?

GCD of 814, 632, 471, 401 is 1

2. Where do I get the detailed procedure to find GCD of 814, 632, 471, 401?

You can find a detailed procedure to find GCD of 814, 632, 471, 401 on our page.

3. How to find GCD of 814, 632, 471, 401 on a calculator?

You can find the GCD of 814, 632, 471, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.