GCD of 515, 916, 742 Calculator

Given Input numbers are 515, 916, 742

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 515, 916, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 916, 742 is 1.

Therefore, GCD of numbers 515, 916, 742 is 1

Given Input Data is 515, 916, 742

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 742 is 2 x 7 x 53

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, 916) = 471740

GCD(515, 916) = ( 515 x 916 ) / 471740

GCD(515, 916) = 471740 / 471740

GCD(515, 916) = 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

GCD of 515, 916, 742 is 1

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1. What is the GCD of 515, 916, 742?

GCD of 515, 916, 742 is 1

2. Where do I get the detailed procedure to find GCD of 515, 916, 742?

You can find a detailed procedure to find GCD of 515, 916, 742 on our page.

3. How to find GCD of 515, 916, 742 on a calculator?

You can find the GCD of 515, 916, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.