GCD of 291, 762, 17, 782 Calculator

Given Input numbers are 291, 762, 17, 782

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 762

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

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 291, 762, 17, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 762, 17, 782 is 1.

Therefore, GCD of numbers 291, 762, 17, 782 is 1

Given Input Data is 291, 762, 17, 782

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 17 is 17

Prime Factorization of 782 is 2 x 17 x 23

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(291, 762) = 73914

GCD(291, 762) = ( 291 x 762 ) / 73914

GCD(291, 762) = 221742 / 73914

GCD(291, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 291, 762, 17, 782 is 1

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• GCD of 655, 791, 18, 990
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1. What is the GCD of 291, 762, 17, 782?

GCD of 291, 762, 17, 782 is 1

2. Where do I get the detailed procedure to find GCD of 291, 762, 17, 782?

You can find a detailed procedure to find GCD of 291, 762, 17, 782 on our page.

3. How to find GCD of 291, 762, 17, 782 on a calculator?

You can find the GCD of 291, 762, 17, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.