GCD of 556, 974, 959, 170 Calculator

Given Input numbers are 556, 974, 959, 170

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 556, 974, 959, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 974, 959, 170 is 1.

Therefore, GCD of numbers 556, 974, 959, 170 is 1

Given Input Data is 556, 974, 959, 170

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 974 is 2 x 487

Prime Factorization of 959 is 7 x 137

Prime Factorization of 170 is 2 x 5 x 17

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(556, 974) = 270772

GCD(556, 974) = ( 556 x 974 ) / 270772

GCD(556, 974) = 541544 / 270772

GCD(556, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 556, 974, 959, 170 is 1

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1. What is the GCD of 556, 974, 959, 170?

GCD of 556, 974, 959, 170 is 1

2. Where do I get the detailed procedure to find GCD of 556, 974, 959, 170?

You can find a detailed procedure to find GCD of 556, 974, 959, 170 on our page.

3. How to find GCD of 556, 974, 959, 170 on a calculator?

You can find the GCD of 556, 974, 959, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.