GCD of 696, 659, 557, 889 Calculator

Given Input numbers are 696, 659, 557, 889

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 557

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

1, 557

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 696, 659, 557, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 659, 557, 889 is 1.

Therefore, GCD of numbers 696, 659, 557, 889 is 1

Given Input Data is 696, 659, 557, 889

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 659 is 659

Prime Factorization of 557 is 557

Prime Factorization of 889 is 7 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(696, 659) = 458664

GCD(696, 659) = ( 696 x 659 ) / 458664

GCD(696, 659) = 458664 / 458664

GCD(696, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 696, 659, 557, 889 is 1

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1. What is the GCD of 696, 659, 557, 889?

GCD of 696, 659, 557, 889 is 1

2. Where do I get the detailed procedure to find GCD of 696, 659, 557, 889?

You can find a detailed procedure to find GCD of 696, 659, 557, 889 on our page.

3. How to find GCD of 696, 659, 557, 889 on a calculator?

You can find the GCD of 696, 659, 557, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.