GCD of 101, 472, 408, 801 Calculator

Given Input numbers are 101, 472, 408, 801

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 101, 472, 408, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 472, 408, 801 is 1.

Therefore, GCD of numbers 101, 472, 408, 801 is 1

Given Input Data is 101, 472, 408, 801

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

Prime Factorization of 101 is 101

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 801 is 3 x 3 x 89

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(101, 472) = 47672

GCD(101, 472) = ( 101 x 472 ) / 47672

GCD(101, 472) = 47672 / 47672

GCD(101, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 101, 472, 408, 801 is 1

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1. What is the GCD of 101, 472, 408, 801?

GCD of 101, 472, 408, 801 is 1

2. Where do I get the detailed procedure to find GCD of 101, 472, 408, 801?

You can find a detailed procedure to find GCD of 101, 472, 408, 801 on our page.

3. How to find GCD of 101, 472, 408, 801 on a calculator?

You can find the GCD of 101, 472, 408, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.