GCD of 100, 971, 206, 445 Calculator

Given Input numbers are 100, 971, 206, 445

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

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 100, 971, 206, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 971, 206, 445 is 1.

Therefore, GCD of numbers 100, 971, 206, 445 is 1

Given Input Data is 100, 971, 206, 445

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 971 is 971

Prime Factorization of 206 is 2 x 103

Prime Factorization of 445 is 5 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(100, 971) = 97100

GCD(100, 971) = ( 100 x 971 ) / 97100

GCD(100, 971) = 97100 / 97100

GCD(100, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 100, 971, 206, 445 is 1

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• GCD of 800, 600, 823, 356
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1. What is the GCD of 100, 971, 206, 445?

GCD of 100, 971, 206, 445 is 1

2. Where do I get the detailed procedure to find GCD of 100, 971, 206, 445?

You can find a detailed procedure to find GCD of 100, 971, 206, 445 on our page.

3. How to find GCD of 100, 971, 206, 445 on a calculator?

You can find the GCD of 100, 971, 206, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.