GCD of 820, 977, 970, 497 Calculator

Given Input numbers are 820, 977, 970, 497

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

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 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 820, 977, 970, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 977, 970, 497 is 1.

Therefore, GCD of numbers 820, 977, 970, 497 is 1

Given Input Data is 820, 977, 970, 497

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 977 is 977

Prime Factorization of 970 is 2 x 5 x 97

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(820, 977) = 801140

GCD(820, 977) = ( 820 x 977 ) / 801140

GCD(820, 977) = 801140 / 801140

GCD(820, 977) = 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 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 820, 977, 970, 497 is 1

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1. What is the GCD of 820, 977, 970, 497?

GCD of 820, 977, 970, 497 is 1

2. Where do I get the detailed procedure to find GCD of 820, 977, 970, 497?

You can find a detailed procedure to find GCD of 820, 977, 970, 497 on our page.

3. How to find GCD of 820, 977, 970, 497 on a calculator?

You can find the GCD of 820, 977, 970, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.