GCD of 970, 819, 74, 420 Calculator

Given Input numbers are 970, 819, 74, 420

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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

Greatest Common Divisior

We found the divisors of 970, 819, 74, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 819, 74, 420 is 1.

Therefore, GCD of numbers 970, 819, 74, 420 is 1

Given Input Data is 970, 819, 74, 420

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 74 is 2 x 37

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

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(970, 819) = 794430

GCD(970, 819) = ( 970 x 819 ) / 794430

GCD(970, 819) = 794430 / 794430

GCD(970, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 970, 819, 74, 420 is 1

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1. What is the GCD of 970, 819, 74, 420?

GCD of 970, 819, 74, 420 is 1

2. Where do I get the detailed procedure to find GCD of 970, 819, 74, 420?

You can find a detailed procedure to find GCD of 970, 819, 74, 420 on our page.

3. How to find GCD of 970, 819, 74, 420 on a calculator?

You can find the GCD of 970, 819, 74, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.