GCD of 180, 658, 70, 409 Calculator

Given Input numbers are 180, 658, 70, 409

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 658

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

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 180, 658, 70, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 658, 70, 409 is 1.

Therefore, GCD of numbers 180, 658, 70, 409 is 1

Given Input Data is 180, 658, 70, 409

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 658 is 2 x 7 x 47

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 409 is 409

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, 658) = 59220

GCD(180, 658) = ( 180 x 658 ) / 59220

GCD(180, 658) = 118440 / 59220

GCD(180, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 180, 658, 70, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 402, 54, 365
• GCD of 522, 441, 24, 514
• GCD of 980, 136, 12, 988
• GCD of 904, 174, 43, 408
• GCD of 201, 486, 70, 811

1. What is the GCD of 180, 658, 70, 409?

GCD of 180, 658, 70, 409 is 1

2. Where do I get the detailed procedure to find GCD of 180, 658, 70, 409?

You can find a detailed procedure to find GCD of 180, 658, 70, 409 on our page.

3. How to find GCD of 180, 658, 70, 409 on a calculator?

You can find the GCD of 180, 658, 70, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.