GCD of 971, 351, 77, 586 Calculator

Given Input numbers are 971, 351, 77, 586

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 971, 351, 77, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 351, 77, 586 is 1.

Therefore, GCD of numbers 971, 351, 77, 586 is 1

Given Input Data is 971, 351, 77, 586

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

Prime Factorization of 971 is 971

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 586 is 2 x 293

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(971, 351) = 340821

GCD(971, 351) = ( 971 x 351 ) / 340821

GCD(971, 351) = 340821 / 340821

GCD(971, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 971, 351, 77, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 961, 37, 776
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• GCD of 658, 768, 18, 916
• GCD of 118, 311, 71, 538
• GCD of 747, 941, 92, 395

1. What is the GCD of 971, 351, 77, 586?

GCD of 971, 351, 77, 586 is 1

2. Where do I get the detailed procedure to find GCD of 971, 351, 77, 586?

You can find a detailed procedure to find GCD of 971, 351, 77, 586 on our page.

3. How to find GCD of 971, 351, 77, 586 on a calculator?

You can find the GCD of 971, 351, 77, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.