GCD of 830, 378, 405, 970 Calculator

Given Input numbers are 830, 378, 405, 970

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 830, 378, 405, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 378, 405, 970 is 1.

Therefore, GCD of numbers 830, 378, 405, 970 is 1

Given Input Data is 830, 378, 405, 970

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 970 is 2 x 5 x 97

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(830, 378) = 156870

GCD(830, 378) = ( 830 x 378 ) / 156870

GCD(830, 378) = 313740 / 156870

GCD(830, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 830, 378, 405, 970 is 1

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1. What is the GCD of 830, 378, 405, 970?

GCD of 830, 378, 405, 970 is 1

2. Where do I get the detailed procedure to find GCD of 830, 378, 405, 970?

You can find a detailed procedure to find GCD of 830, 378, 405, 970 on our page.

3. How to find GCD of 830, 378, 405, 970 on a calculator?

You can find the GCD of 830, 378, 405, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.