GCD of 517, 992, 57, 746 Calculator

Given Input numbers are 517, 992, 57, 746

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 517, 992, 57, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 992, 57, 746 is 1.

Therefore, GCD of numbers 517, 992, 57, 746 is 1

Given Input Data is 517, 992, 57, 746

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 57 is 3 x 19

Prime Factorization of 746 is 2 x 373

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, 992) = 512864

GCD(517, 992) = ( 517 x 992 ) / 512864

GCD(517, 992) = 512864 / 512864

GCD(517, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 517, 992, 57, 746 is 1

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• GCD of 491, 390, 42, 399
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1. What is the GCD of 517, 992, 57, 746?

GCD of 517, 992, 57, 746 is 1

2. Where do I get the detailed procedure to find GCD of 517, 992, 57, 746?

You can find a detailed procedure to find GCD of 517, 992, 57, 746 on our page.

3. How to find GCD of 517, 992, 57, 746 on a calculator?

You can find the GCD of 517, 992, 57, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.