GCD of 530, 575, 50, 105 Calculator

Given Input numbers are 530, 575, 50, 105

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 530, 575, 50, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 575, 50, 105 is 5.

Therefore, GCD of numbers 530, 575, 50, 105 is 5

Given Input Data is 530, 575, 50, 105

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(530, 575) = 60950

GCD(530, 575) = ( 530 x 575 ) / 60950

GCD(530, 575) = 304750 / 60950

GCD(530, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 50

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

LCM(5, 50) = 50

GCD(5, 50) = ( 5 x 50 ) / 50

GCD(5, 50) = 250 / 50

GCD(5, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 105

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

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

GCD(5, 105) = 525 / 105

GCD(5, 105) = 5

GCD of 530, 575, 50, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 968, 15, 721
• GCD of 503, 380, 20, 855
• GCD of 742, 970, 35, 115
• GCD of 270, 565, 66, 664
• GCD of 350, 829, 80, 466

1. What is the GCD of 530, 575, 50, 105?

GCD of 530, 575, 50, 105 is 5

2. Where do I get the detailed procedure to find GCD of 530, 575, 50, 105?

You can find a detailed procedure to find GCD of 530, 575, 50, 105 on our page.

3. How to find GCD of 530, 575, 50, 105 on a calculator?

You can find the GCD of 530, 575, 50, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.