GCD of 671, 142, 808, 100 Calculator

Given Input numbers are 671, 142, 808, 100

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

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 671, 142, 808, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 142, 808, 100 is 1.

Therefore, GCD of numbers 671, 142, 808, 100 is 1

Given Input Data is 671, 142, 808, 100

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

Prime Factorization of 671 is 11 x 61

Prime Factorization of 142 is 2 x 71

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 100 is 2 x 2 x 5 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(671, 142) = 95282

GCD(671, 142) = ( 671 x 142 ) / 95282

GCD(671, 142) = 95282 / 95282

GCD(671, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 671, 142, 808, 100 is 1

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1. What is the GCD of 671, 142, 808, 100?

GCD of 671, 142, 808, 100 is 1

2. Where do I get the detailed procedure to find GCD of 671, 142, 808, 100?

You can find a detailed procedure to find GCD of 671, 142, 808, 100 on our page.

3. How to find GCD of 671, 142, 808, 100 on a calculator?

You can find the GCD of 671, 142, 808, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.