GCD of 970, 309, 53, 394 Calculator

Given Input numbers are 970, 309, 53, 394

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 970, 309, 53, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 309, 53, 394 is 1.

Therefore, GCD of numbers 970, 309, 53, 394 is 1

Given Input Data is 970, 309, 53, 394

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 309 is 3 x 103

Prime Factorization of 53 is 53

Prime Factorization of 394 is 2 x 197

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, 309) = 299730

GCD(970, 309) = ( 970 x 309 ) / 299730

GCD(970, 309) = 299730 / 299730

GCD(970, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 970, 309, 53, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 516, 65, 975
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• GCD of 291, 839, 17, 586
• GCD of 480, 258, 57, 276
• GCD of 520, 742, 82, 906

1. What is the GCD of 970, 309, 53, 394?

GCD of 970, 309, 53, 394 is 1

2. Where do I get the detailed procedure to find GCD of 970, 309, 53, 394?

You can find a detailed procedure to find GCD of 970, 309, 53, 394 on our page.

3. How to find GCD of 970, 309, 53, 394 on a calculator?

You can find the GCD of 970, 309, 53, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.