GCD of 953, 351, 58, 821 Calculator

Given Input numbers are 953, 351, 58, 821

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 953, 351, 58, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 351, 58, 821 is 1.

Therefore, GCD of numbers 953, 351, 58, 821 is 1

Given Input Data is 953, 351, 58, 821

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

Prime Factorization of 953 is 953

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 821 is 821

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(953, 351) = 334503

GCD(953, 351) = ( 953 x 351 ) / 334503

GCD(953, 351) = 334503 / 334503

GCD(953, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 953, 351, 58, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 327, 82, 512
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• GCD of 402, 433, 18, 988
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• GCD of 732, 950, 37, 331

1. What is the GCD of 953, 351, 58, 821?

GCD of 953, 351, 58, 821 is 1

2. Where do I get the detailed procedure to find GCD of 953, 351, 58, 821?

You can find a detailed procedure to find GCD of 953, 351, 58, 821 on our page.

3. How to find GCD of 953, 351, 58, 821 on a calculator?

You can find the GCD of 953, 351, 58, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.