GCD of 275, 530, 50, 580 Calculator

Given Input numbers are 275, 530, 50, 580

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 50

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

1, 2, 5, 10, 25, 50

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 275, 530, 50, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 530, 50, 580 is 5.

Therefore, GCD of numbers 275, 530, 50, 580 is 5

Given Input Data is 275, 530, 50, 580

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(275, 530) = 29150

GCD(275, 530) = ( 275 x 530 ) / 29150

GCD(275, 530) = 145750 / 29150

GCD(275, 530) = 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 580

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

LCM(5, 580) = 580

GCD(5, 580) = ( 5 x 580 ) / 580

GCD(5, 580) = 2900 / 580

GCD(5, 580) = 5

GCD of 275, 530, 50, 580 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 668, 92, 180
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• GCD of 248, 803, 40, 870
• GCD of 695, 740, 42, 666

1. What is the GCD of 275, 530, 50, 580?

GCD of 275, 530, 50, 580 is 5

2. Where do I get the detailed procedure to find GCD of 275, 530, 50, 580?

You can find a detailed procedure to find GCD of 275, 530, 50, 580 on our page.

3. How to find GCD of 275, 530, 50, 580 on a calculator?

You can find the GCD of 275, 530, 50, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.