GCD of 517, 945, 734 Calculator

Given Input numbers are 517, 945, 734

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 517, 945, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 945, 734 is 1.

Therefore, GCD of numbers 517, 945, 734 is 1

Given Input Data is 517, 945, 734

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 734 is 2 x 367

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(517, 945) = 488565

GCD(517, 945) = ( 517 x 945 ) / 488565

GCD(517, 945) = 488565 / 488565

GCD(517, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 517, 945, 734 is 1

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1. What is the GCD of 517, 945, 734?

GCD of 517, 945, 734 is 1

2. Where do I get the detailed procedure to find GCD of 517, 945, 734?

You can find a detailed procedure to find GCD of 517, 945, 734 on our page.

3. How to find GCD of 517, 945, 734 on a calculator?

You can find the GCD of 517, 945, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.