GCD of 180, 466, 528, 989 Calculator

Given Input numbers are 180, 466, 528, 989

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

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 180, 466, 528, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 466, 528, 989 is 1.

Therefore, GCD of numbers 180, 466, 528, 989 is 1

Given Input Data is 180, 466, 528, 989

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

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 989 is 23 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(180, 466) = 41940

GCD(180, 466) = ( 180 x 466 ) / 41940

GCD(180, 466) = 83880 / 41940

GCD(180, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 180, 466, 528, 989 is 1

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• GCD of 302, 579, 589, 203
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• GCD of 379, 458, 591, 121

1. What is the GCD of 180, 466, 528, 989?

GCD of 180, 466, 528, 989 is 1

2. Where do I get the detailed procedure to find GCD of 180, 466, 528, 989?

You can find a detailed procedure to find GCD of 180, 466, 528, 989 on our page.

3. How to find GCD of 180, 466, 528, 989 on a calculator?

You can find the GCD of 180, 466, 528, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.