GCD of 421, 594, 112, 760 Calculator

Given Input numbers are 421, 594, 112, 760

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 421, 594, 112, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 594, 112, 760 is 1.

Therefore, GCD of numbers 421, 594, 112, 760 is 1

Given Input Data is 421, 594, 112, 760

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

Prime Factorization of 421 is 421

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(421, 594) = 250074

GCD(421, 594) = ( 421 x 594 ) / 250074

GCD(421, 594) = 250074 / 250074

GCD(421, 594) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 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 421, 594, 112, 760 is 1

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1. What is the GCD of 421, 594, 112, 760?

GCD of 421, 594, 112, 760 is 1

2. Where do I get the detailed procedure to find GCD of 421, 594, 112, 760?

You can find a detailed procedure to find GCD of 421, 594, 112, 760 on our page.

3. How to find GCD of 421, 594, 112, 760 on a calculator?

You can find the GCD of 421, 594, 112, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.