GCD of 806, 157, 742, 251 Calculator

Given Input numbers are 806, 157, 742, 251

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 806, 157, 742, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 157, 742, 251 is 1.

Therefore, GCD of numbers 806, 157, 742, 251 is 1

Given Input Data is 806, 157, 742, 251

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 157 is 157

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 251 is 251

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(806, 157) = 126542

GCD(806, 157) = ( 806 x 157 ) / 126542

GCD(806, 157) = 126542 / 126542

GCD(806, 157) = 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 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 806, 157, 742, 251 is 1

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1. What is the GCD of 806, 157, 742, 251?

GCD of 806, 157, 742, 251 is 1

2. Where do I get the detailed procedure to find GCD of 806, 157, 742, 251?

You can find a detailed procedure to find GCD of 806, 157, 742, 251 on our page.

3. How to find GCD of 806, 157, 742, 251 on a calculator?

You can find the GCD of 806, 157, 742, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.