GCD of 90, 166, 474, 694 Calculator

Given Input numbers are 90, 166, 474, 694

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 90, 166, 474, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 166, 474, 694 is 2.

Therefore, GCD of numbers 90, 166, 474, 694 is 2

Given Input Data is 90, 166, 474, 694

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 166 is 2 x 83

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(90, 166) = 7470

GCD(90, 166) = ( 90 x 166 ) / 7470

GCD(90, 166) = 14940 / 7470

GCD(90, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 90, 166, 474, 694 is 2

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1. What is the GCD of 90, 166, 474, 694?

GCD of 90, 166, 474, 694 is 2

2. Where do I get the detailed procedure to find GCD of 90, 166, 474, 694?

You can find a detailed procedure to find GCD of 90, 166, 474, 694 on our page.

3. How to find GCD of 90, 166, 474, 694 on a calculator?

You can find the GCD of 90, 166, 474, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.