GCD of 420, 317, 930, 742 Calculator

Given Input numbers are 420, 317, 930, 742

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 420, 317, 930, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 317, 930, 742 is 1.

Therefore, GCD of numbers 420, 317, 930, 742 is 1

Given Input Data is 420, 317, 930, 742

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 317 is 317

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 742 is 2 x 7 x 53

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(420, 317) = 133140

GCD(420, 317) = ( 420 x 317 ) / 133140

GCD(420, 317) = 133140 / 133140

GCD(420, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 420, 317, 930, 742 is 1

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1. What is the GCD of 420, 317, 930, 742?

GCD of 420, 317, 930, 742 is 1

2. Where do I get the detailed procedure to find GCD of 420, 317, 930, 742?

You can find a detailed procedure to find GCD of 420, 317, 930, 742 on our page.

3. How to find GCD of 420, 317, 930, 742 on a calculator?

You can find the GCD of 420, 317, 930, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.