GCD of 658, 355, 40, 180 Calculator

Given Input numbers are 658, 355, 40, 180

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 658, 355, 40, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 355, 40, 180 is 1.

Therefore, GCD of numbers 658, 355, 40, 180 is 1

Given Input Data is 658, 355, 40, 180

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 355 is 5 x 71

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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(658, 355) = 233590

GCD(658, 355) = ( 658 x 355 ) / 233590

GCD(658, 355) = 233590 / 233590

GCD(658, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 658, 355, 40, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 936, 33, 170
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• GCD of 685, 789, 73, 609

1. What is the GCD of 658, 355, 40, 180?

GCD of 658, 355, 40, 180 is 1

2. Where do I get the detailed procedure to find GCD of 658, 355, 40, 180?

You can find a detailed procedure to find GCD of 658, 355, 40, 180 on our page.

3. How to find GCD of 658, 355, 40, 180 on a calculator?

You can find the GCD of 658, 355, 40, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.