GCD of 401, 678, 262, 791 Calculator

Given Input numbers are 401, 678, 262, 791

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

Divisors of 401

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

1, 401

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 401, 678, 262, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 678, 262, 791 is 1.

Therefore, GCD of numbers 401, 678, 262, 791 is 1

Given Input Data is 401, 678, 262, 791

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

Prime Factorization of 401 is 401

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 262 is 2 x 131

Prime Factorization of 791 is 7 x 113

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(401, 678) = 271878

GCD(401, 678) = ( 401 x 678 ) / 271878

GCD(401, 678) = 271878 / 271878

GCD(401, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 401, 678, 262, 791 is 1

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1. What is the GCD of 401, 678, 262, 791?

GCD of 401, 678, 262, 791 is 1

2. Where do I get the detailed procedure to find GCD of 401, 678, 262, 791?

You can find a detailed procedure to find GCD of 401, 678, 262, 791 on our page.

3. How to find GCD of 401, 678, 262, 791 on a calculator?

You can find the GCD of 401, 678, 262, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.