GCD of 412, 472, 993, 760 Calculator

Given Input numbers are 412, 472, 993, 760

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

Divisors of 412

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

1, 2, 4, 103, 206, 412

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 412, 472, 993, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 472, 993, 760 is 1.

Therefore, GCD of numbers 412, 472, 993, 760 is 1

Given Input Data is 412, 472, 993, 760

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

Prime Factorization of 412 is 2 x 2 x 103

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(412, 472) = 48616

GCD(412, 472) = ( 412 x 472 ) / 48616

GCD(412, 472) = 194464 / 48616

GCD(412, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 993

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

LCM(4, 993) = 3972

GCD(4, 993) = ( 4 x 993 ) / 3972

GCD(4, 993) = 3972 / 3972

GCD(4, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 412, 472, 993, 760 is 1

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• GCD of 787, 861, 463, 940

1. What is the GCD of 412, 472, 993, 760?

GCD of 412, 472, 993, 760 is 1

2. Where do I get the detailed procedure to find GCD of 412, 472, 993, 760?

You can find a detailed procedure to find GCD of 412, 472, 993, 760 on our page.

3. How to find GCD of 412, 472, 993, 760 on a calculator?

You can find the GCD of 412, 472, 993, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.