GCD of 641, 105, 36, 918 Calculator

Given Input numbers are 641, 105, 36, 918

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

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 641, 105, 36, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 641, 105, 36, 918 is 1.

Therefore, GCD of numbers 641, 105, 36, 918 is 1

Given Input Data is 641, 105, 36, 918

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

Prime Factorization of 641 is 641

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(641, 105) = 67305

GCD(641, 105) = ( 641 x 105 ) / 67305

GCD(641, 105) = 67305 / 67305

GCD(641, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 641, 105, 36, 918 is 1

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• GCD of 958, 865, 24, 672
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1. What is the GCD of 641, 105, 36, 918?

GCD of 641, 105, 36, 918 is 1

2. Where do I get the detailed procedure to find GCD of 641, 105, 36, 918?

You can find a detailed procedure to find GCD of 641, 105, 36, 918 on our page.

3. How to find GCD of 641, 105, 36, 918 on a calculator?

You can find the GCD of 641, 105, 36, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.