GCD of 602, 872, 202, 180 Calculator

Given Input numbers are 602, 872, 202, 180

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

Divisors of 602

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

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 602, 872, 202, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 872, 202, 180 is 2.

Therefore, GCD of numbers 602, 872, 202, 180 is 2

Given Input Data is 602, 872, 202, 180

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 202 is 2 x 101

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(602, 872) = 262472

GCD(602, 872) = ( 602 x 872 ) / 262472

GCD(602, 872) = 524944 / 262472

GCD(602, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

GCD of 602, 872, 202, 180 is 2

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1. What is the GCD of 602, 872, 202, 180?

GCD of 602, 872, 202, 180 is 2

2. Where do I get the detailed procedure to find GCD of 602, 872, 202, 180?

You can find a detailed procedure to find GCD of 602, 872, 202, 180 on our page.

3. How to find GCD of 602, 872, 202, 180 on a calculator?

You can find the GCD of 602, 872, 202, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.