GCD of 597, 767, 970, 345 Calculator

Given Input numbers are 597, 767, 970, 345

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 597, 767, 970, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 767, 970, 345 is 1.

Therefore, GCD of numbers 597, 767, 970, 345 is 1

Given Input Data is 597, 767, 970, 345

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 767 is 13 x 59

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 345 is 3 x 5 x 23

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(597, 767) = 457899

GCD(597, 767) = ( 597 x 767 ) / 457899

GCD(597, 767) = 457899 / 457899

GCD(597, 767) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 597, 767, 970, 345 is 1

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1. What is the GCD of 597, 767, 970, 345?

GCD of 597, 767, 970, 345 is 1

2. Where do I get the detailed procedure to find GCD of 597, 767, 970, 345?

You can find a detailed procedure to find GCD of 597, 767, 970, 345 on our page.

3. How to find GCD of 597, 767, 970, 345 on a calculator?

You can find the GCD of 597, 767, 970, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.