GCD of 515, 697, 49, 821 Calculator

Given Input numbers are 515, 697, 49, 821

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 697

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

1, 17, 41, 697

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 515, 697, 49, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 697, 49, 821 is 1.

Therefore, GCD of numbers 515, 697, 49, 821 is 1

Given Input Data is 515, 697, 49, 821

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 697 is 17 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 821 is 821

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(515, 697) = 358955

GCD(515, 697) = ( 515 x 697 ) / 358955

GCD(515, 697) = 358955 / 358955

GCD(515, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 515, 697, 49, 821 is 1

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• GCD of 146, 442, 63, 691
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• GCD of 553, 983, 33, 865

1. What is the GCD of 515, 697, 49, 821?

GCD of 515, 697, 49, 821 is 1

2. Where do I get the detailed procedure to find GCD of 515, 697, 49, 821?

You can find a detailed procedure to find GCD of 515, 697, 49, 821 on our page.

3. How to find GCD of 515, 697, 49, 821 on a calculator?

You can find the GCD of 515, 697, 49, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.