GCD of 988, 841, 523, 953 Calculator

Given Input numbers are 988, 841, 523, 953

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 953

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

1, 953

Greatest Common Divisior

We found the divisors of 988, 841, 523, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 841, 523, 953 is 1.

Therefore, GCD of numbers 988, 841, 523, 953 is 1

Given Input Data is 988, 841, 523, 953

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 841 is 29 x 29

Prime Factorization of 523 is 523

Prime Factorization of 953 is 953

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(988, 841) = 830908

GCD(988, 841) = ( 988 x 841 ) / 830908

GCD(988, 841) = 830908 / 830908

GCD(988, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 988, 841, 523, 953 is 1

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1. What is the GCD of 988, 841, 523, 953?

GCD of 988, 841, 523, 953 is 1

2. Where do I get the detailed procedure to find GCD of 988, 841, 523, 953?

You can find a detailed procedure to find GCD of 988, 841, 523, 953 on our page.

3. How to find GCD of 988, 841, 523, 953 on a calculator?

You can find the GCD of 988, 841, 523, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.