GCD of 361, 142, 44, 520 Calculator

Given Input numbers are 361, 142, 44, 520

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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

Greatest Common Divisior

We found the divisors of 361, 142, 44, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 142, 44, 520 is 1.

Therefore, GCD of numbers 361, 142, 44, 520 is 1

Given Input Data is 361, 142, 44, 520

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 142 is 2 x 71

Prime Factorization of 44 is 2 x 2 x 11

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

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(361, 142) = 51262

GCD(361, 142) = ( 361 x 142 ) / 51262

GCD(361, 142) = 51262 / 51262

GCD(361, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 361, 142, 44, 520 is 1

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• GCD of 936, 120, 11, 242
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• GCD of 103, 796, 24, 684

1. What is the GCD of 361, 142, 44, 520?

GCD of 361, 142, 44, 520 is 1

2. Where do I get the detailed procedure to find GCD of 361, 142, 44, 520?

You can find a detailed procedure to find GCD of 361, 142, 44, 520 on our page.

3. How to find GCD of 361, 142, 44, 520 on a calculator?

You can find the GCD of 361, 142, 44, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.