GCD of 518, 400, 645, 155 Calculator

Given Input numbers are 518, 400, 645, 155

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 518, 400, 645, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 400, 645, 155 is 1.

Therefore, GCD of numbers 518, 400, 645, 155 is 1

Given Input Data is 518, 400, 645, 155

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 155 is 5 x 31

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(518, 400) = 103600

GCD(518, 400) = ( 518 x 400 ) / 103600

GCD(518, 400) = 207200 / 103600

GCD(518, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 518, 400, 645, 155 is 1

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• GCD of 126, 274, 246, 117
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• GCD of 680, 977, 579, 146

1. What is the GCD of 518, 400, 645, 155?

GCD of 518, 400, 645, 155 is 1

2. Where do I get the detailed procedure to find GCD of 518, 400, 645, 155?

You can find a detailed procedure to find GCD of 518, 400, 645, 155 on our page.

3. How to find GCD of 518, 400, 645, 155 on a calculator?

You can find the GCD of 518, 400, 645, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.