GCD of 901, 472, 429, 782 Calculator

Given Input numbers are 901, 472, 429, 782

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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 901, 472, 429, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 472, 429, 782 is 1.

Therefore, GCD of numbers 901, 472, 429, 782 is 1

Given Input Data is 901, 472, 429, 782

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 429 is 3 x 11 x 13

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(901, 472) = 425272

GCD(901, 472) = ( 901 x 472 ) / 425272

GCD(901, 472) = 425272 / 425272

GCD(901, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 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 901, 472, 429, 782 is 1

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1. What is the GCD of 901, 472, 429, 782?

GCD of 901, 472, 429, 782 is 1

2. Where do I get the detailed procedure to find GCD of 901, 472, 429, 782?

You can find a detailed procedure to find GCD of 901, 472, 429, 782 on our page.

3. How to find GCD of 901, 472, 429, 782 on a calculator?

You can find the GCD of 901, 472, 429, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.