GCD of 40, 772, 259, 257 Calculator

Given Input numbers are 40, 772, 259, 257

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 40, 772, 259, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 772, 259, 257 is 1.

Therefore, GCD of numbers 40, 772, 259, 257 is 1

Given Input Data is 40, 772, 259, 257

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 259 is 7 x 37

Prime Factorization of 257 is 257

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(40, 772) = 7720

GCD(40, 772) = ( 40 x 772 ) / 7720

GCD(40, 772) = 30880 / 7720

GCD(40, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 259

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

LCM(4, 259) = 1036

GCD(4, 259) = ( 4 x 259 ) / 1036

GCD(4, 259) = 1036 / 1036

GCD(4, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 40, 772, 259, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 793, 173, 344
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• GCD of 73, 774, 710, 457
• GCD of 29, 794, 336, 150
• GCD of 84, 889, 971, 728

1. What is the GCD of 40, 772, 259, 257?

GCD of 40, 772, 259, 257 is 1

2. Where do I get the detailed procedure to find GCD of 40, 772, 259, 257?

You can find a detailed procedure to find GCD of 40, 772, 259, 257 on our page.

3. How to find GCD of 40, 772, 259, 257 on a calculator?

You can find the GCD of 40, 772, 259, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.