GCD of 970, 728, 71, 497 Calculator

Given Input numbers are 970, 728, 71, 497

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 970, 728, 71, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 728, 71, 497 is 1.

Therefore, GCD of numbers 970, 728, 71, 497 is 1

Given Input Data is 970, 728, 71, 497

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 71 is 71

Prime Factorization of 497 is 7 x 71

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, 728) = 353080

GCD(970, 728) = ( 970 x 728 ) / 353080

GCD(970, 728) = 706160 / 353080

GCD(970, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 970, 728, 71, 497 is 1

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• GCD of 373, 237, 21, 168
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1. What is the GCD of 970, 728, 71, 497?

GCD of 970, 728, 71, 497 is 1

2. Where do I get the detailed procedure to find GCD of 970, 728, 71, 497?

You can find a detailed procedure to find GCD of 970, 728, 71, 497 on our page.

3. How to find GCD of 970, 728, 71, 497 on a calculator?

You can find the GCD of 970, 728, 71, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.