GCD of 372, 291, 471, 782 Calculator

Given Input numbers are 372, 291, 471, 782

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 291

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

1, 3, 97, 291

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

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 372, 291, 471, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 291, 471, 782 is 1.

Therefore, GCD of numbers 372, 291, 471, 782 is 1

Given Input Data is 372, 291, 471, 782

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 291 is 3 x 97

Prime Factorization of 471 is 3 x 157

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(372, 291) = 36084

GCD(372, 291) = ( 372 x 291 ) / 36084

GCD(372, 291) = 108252 / 36084

GCD(372, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

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

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

GCD of 372, 291, 471, 782 is 1

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1. What is the GCD of 372, 291, 471, 782?

GCD of 372, 291, 471, 782 is 1

2. Where do I get the detailed procedure to find GCD of 372, 291, 471, 782?

You can find a detailed procedure to find GCD of 372, 291, 471, 782 on our page.

3. How to find GCD of 372, 291, 471, 782 on a calculator?

You can find the GCD of 372, 291, 471, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.