GCD of 816, 157, 520, 697 Calculator

Given Input numbers are 816, 157, 520, 697

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 157

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

1, 157

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 816, 157, 520, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 157, 520, 697 is 1.

Therefore, GCD of numbers 816, 157, 520, 697 is 1

Given Input Data is 816, 157, 520, 697

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 157 is 157

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 697 is 17 x 41

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(816, 157) = 128112

GCD(816, 157) = ( 816 x 157 ) / 128112

GCD(816, 157) = 128112 / 128112

GCD(816, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 816, 157, 520, 697 is 1

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1. What is the GCD of 816, 157, 520, 697?

GCD of 816, 157, 520, 697 is 1

2. Where do I get the detailed procedure to find GCD of 816, 157, 520, 697?

You can find a detailed procedure to find GCD of 816, 157, 520, 697 on our page.

3. How to find GCD of 816, 157, 520, 697 on a calculator?

You can find the GCD of 816, 157, 520, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.