GCD of 493, 945, 970 Calculator

Given Input numbers are 493, 945, 970

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 493, 945, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 945, 970 is 1.

Therefore, GCD of numbers 493, 945, 970 is 1

Given Input Data is 493, 945, 970

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(493, 945) = 465885

GCD(493, 945) = ( 493 x 945 ) / 465885

GCD(493, 945) = 465885 / 465885

GCD(493, 945) = 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

GCD of 493, 945, 970 is 1

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1. What is the GCD of 493, 945, 970?

GCD of 493, 945, 970 is 1

2. Where do I get the detailed procedure to find GCD of 493, 945, 970?

You can find a detailed procedure to find GCD of 493, 945, 970 on our page.

3. How to find GCD of 493, 945, 970 on a calculator?

You can find the GCD of 493, 945, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.