GCD of 520, 275, 12, 610 Calculator

Given Input numbers are 520, 275, 12, 610

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 275

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

1, 5, 11, 25, 55, 275

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 520, 275, 12, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 275, 12, 610 is 1.

Therefore, GCD of numbers 520, 275, 12, 610 is 1

Given Input Data is 520, 275, 12, 610

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 610 is 2 x 5 x 61

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(520, 275) = 28600

GCD(520, 275) = ( 520 x 275 ) / 28600

GCD(520, 275) = 143000 / 28600

GCD(520, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 12

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

LCM(5, 12) = 60

GCD(5, 12) = ( 5 x 12 ) / 60

GCD(5, 12) = 60 / 60

GCD(5, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 520, 275, 12, 610 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 949, 49, 875
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1. What is the GCD of 520, 275, 12, 610?

GCD of 520, 275, 12, 610 is 1

2. Where do I get the detailed procedure to find GCD of 520, 275, 12, 610?

You can find a detailed procedure to find GCD of 520, 275, 12, 610 on our page.

3. How to find GCD of 520, 275, 12, 610 on a calculator?

You can find the GCD of 520, 275, 12, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.