GCD of 916, 362, 308, 533 Calculator

Given Input numbers are 916, 362, 308, 533

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

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 916, 362, 308, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 362, 308, 533 is 1.

Therefore, GCD of numbers 916, 362, 308, 533 is 1

Given Input Data is 916, 362, 308, 533

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 362 is 2 x 181

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 533 is 13 x 41

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(916, 362) = 165796

GCD(916, 362) = ( 916 x 362 ) / 165796

GCD(916, 362) = 331592 / 165796

GCD(916, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 916, 362, 308, 533 is 1

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• GCD of 638, 348, 430, 136
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1. What is the GCD of 916, 362, 308, 533?

GCD of 916, 362, 308, 533 is 1

2. Where do I get the detailed procedure to find GCD of 916, 362, 308, 533?

You can find a detailed procedure to find GCD of 916, 362, 308, 533 on our page.

3. How to find GCD of 916, 362, 308, 533 on a calculator?

You can find the GCD of 916, 362, 308, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.