GCD of 533, 354, 360, 916 Calculator

Given Input numbers are 533, 354, 360, 916

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

Divisors of 533

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

1, 13, 41, 533

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 533, 354, 360, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 354, 360, 916 is 1.

Therefore, GCD of numbers 533, 354, 360, 916 is 1

Given Input Data is 533, 354, 360, 916

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(533, 354) = 188682

GCD(533, 354) = ( 533 x 354 ) / 188682

GCD(533, 354) = 188682 / 188682

GCD(533, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 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 533, 354, 360, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 841, 831, 409
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• GCD of 139, 462, 381, 250

1. What is the GCD of 533, 354, 360, 916?

GCD of 533, 354, 360, 916 is 1

2. Where do I get the detailed procedure to find GCD of 533, 354, 360, 916?

You can find a detailed procedure to find GCD of 533, 354, 360, 916 on our page.

3. How to find GCD of 533, 354, 360, 916 on a calculator?

You can find the GCD of 533, 354, 360, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.