GCD of 557, 689, 41, 602 Calculator

Given Input numbers are 557, 689, 41, 602

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 557, 689, 41, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 689, 41, 602 is 1.

Therefore, GCD of numbers 557, 689, 41, 602 is 1

Given Input Data is 557, 689, 41, 602

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

Prime Factorization of 557 is 557

Prime Factorization of 689 is 13 x 53

Prime Factorization of 41 is 41

Prime Factorization of 602 is 2 x 7 x 43

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(557, 689) = 383773

GCD(557, 689) = ( 557 x 689 ) / 383773

GCD(557, 689) = 383773 / 383773

GCD(557, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 557, 689, 41, 602 is 1

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1. What is the GCD of 557, 689, 41, 602?

GCD of 557, 689, 41, 602 is 1

2. Where do I get the detailed procedure to find GCD of 557, 689, 41, 602?

You can find a detailed procedure to find GCD of 557, 689, 41, 602 on our page.

3. How to find GCD of 557, 689, 41, 602 on a calculator?

You can find the GCD of 557, 689, 41, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.