GCD of 10, 145, 539, 916 Calculator

Given Input numbers are 10, 145, 539, 916

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 10, 145, 539, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 145, 539, 916 is 1.

Therefore, GCD of numbers 10, 145, 539, 916 is 1

Given Input Data is 10, 145, 539, 916

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 145 is 5 x 29

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 916 is 2 x 2 x 229

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(10, 145) = 290

GCD(10, 145) = ( 10 x 145 ) / 290

GCD(10, 145) = 1450 / 290

GCD(10, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 539

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

LCM(5, 539) = 2695

GCD(5, 539) = ( 5 x 539 ) / 2695

GCD(5, 539) = 2695 / 2695

GCD(5, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 10, 145, 539, 916 is 1

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• GCD of 63, 758, 970, 498
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• GCD of 62, 235, 268, 169

1. What is the GCD of 10, 145, 539, 916?

GCD of 10, 145, 539, 916 is 1

2. Where do I get the detailed procedure to find GCD of 10, 145, 539, 916?

You can find a detailed procedure to find GCD of 10, 145, 539, 916 on our page.

3. How to find GCD of 10, 145, 539, 916 on a calculator?

You can find the GCD of 10, 145, 539, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.