GCD of 517, 301, 138, 762 Calculator

Given Input numbers are 517, 301, 138, 762

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 517, 301, 138, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 301, 138, 762 is 1.

Therefore, GCD of numbers 517, 301, 138, 762 is 1

Given Input Data is 517, 301, 138, 762

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 301 is 7 x 43

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 762 is 2 x 3 x 127

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, 301) = 155617

GCD(517, 301) = ( 517 x 301 ) / 155617

GCD(517, 301) = 155617 / 155617

GCD(517, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 517, 301, 138, 762 is 1

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1. What is the GCD of 517, 301, 138, 762?

GCD of 517, 301, 138, 762 is 1

2. Where do I get the detailed procedure to find GCD of 517, 301, 138, 762?

You can find a detailed procedure to find GCD of 517, 301, 138, 762 on our page.

3. How to find GCD of 517, 301, 138, 762 on a calculator?

You can find the GCD of 517, 301, 138, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.