GCD of 50, 515, 567, 107 Calculator

Given Input numbers are 50, 515, 567, 107

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 50, 515, 567, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 515, 567, 107 is 1.

Therefore, GCD of numbers 50, 515, 567, 107 is 1

Given Input Data is 50, 515, 567, 107

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 515 is 5 x 103

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 107 is 107

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(50, 515) = 5150

GCD(50, 515) = ( 50 x 515 ) / 5150

GCD(50, 515) = 25750 / 5150

GCD(50, 515) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 567

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

LCM(5, 567) = 2835

GCD(5, 567) = ( 5 x 567 ) / 2835

GCD(5, 567) = 2835 / 2835

GCD(5, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 50, 515, 567, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 989, 849, 103
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• GCD of 28, 196, 564, 232
• GCD of 76, 559, 677, 896

1. What is the GCD of 50, 515, 567, 107?

GCD of 50, 515, 567, 107 is 1

2. Where do I get the detailed procedure to find GCD of 50, 515, 567, 107?

You can find a detailed procedure to find GCD of 50, 515, 567, 107 on our page.

3. How to find GCD of 50, 515, 567, 107 on a calculator?

You can find the GCD of 50, 515, 567, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.