GCD of 869, 553, 59, 508 Calculator

Given Input numbers are 869, 553, 59, 508

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 869, 553, 59, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 553, 59, 508 is 1.

Therefore, GCD of numbers 869, 553, 59, 508 is 1

Given Input Data is 869, 553, 59, 508

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 553 is 7 x 79

Prime Factorization of 59 is 59

Prime Factorization of 508 is 2 x 2 x 127

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(869, 553) = 6083

GCD(869, 553) = ( 869 x 553 ) / 6083

GCD(869, 553) = 480557 / 6083

GCD(869, 553) = 79

Step2:

Here we consider the GCD from the above i.e. 79 as first number and the next as 59

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

LCM(79, 59) = 4661

GCD(79, 59) = ( 79 x 59 ) / 4661

GCD(79, 59) = 4661 / 4661

GCD(79, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 869, 553, 59, 508 is 1

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1. What is the GCD of 869, 553, 59, 508?

GCD of 869, 553, 59, 508 is 1

2. Where do I get the detailed procedure to find GCD of 869, 553, 59, 508?

You can find a detailed procedure to find GCD of 869, 553, 59, 508 on our page.

3. How to find GCD of 869, 553, 59, 508 on a calculator?

You can find the GCD of 869, 553, 59, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.