GCD of 517, 739, 160, 412 Calculator

Given Input numbers are 517, 739, 160, 412

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 517, 739, 160, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 739, 160, 412 is 1.

Therefore, GCD of numbers 517, 739, 160, 412 is 1

Given Input Data is 517, 739, 160, 412

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 739 is 739

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 412 is 2 x 2 x 103

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, 739) = 382063

GCD(517, 739) = ( 517 x 739 ) / 382063

GCD(517, 739) = 382063 / 382063

GCD(517, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 517, 739, 160, 412 is 1

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1. What is the GCD of 517, 739, 160, 412?

GCD of 517, 739, 160, 412 is 1

2. Where do I get the detailed procedure to find GCD of 517, 739, 160, 412?

You can find a detailed procedure to find GCD of 517, 739, 160, 412 on our page.

3. How to find GCD of 517, 739, 160, 412 on a calculator?

You can find the GCD of 517, 739, 160, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.