GCD of 533, 702, 355, 160 Calculator

Given Input numbers are 533, 702, 355, 160

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 533, 702, 355, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 702, 355, 160 is 1.

Therefore, GCD of numbers 533, 702, 355, 160 is 1

Given Input Data is 533, 702, 355, 160

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 355 is 5 x 71

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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, 702) = 28782

GCD(533, 702) = ( 533 x 702 ) / 28782

GCD(533, 702) = 374166 / 28782

GCD(533, 702) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 355

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

LCM(13, 355) = 4615

GCD(13, 355) = ( 13 x 355 ) / 4615

GCD(13, 355) = 4615 / 4615

GCD(13, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 533, 702, 355, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 753, 171, 973
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• GCD of 174, 214, 718, 474

1. What is the GCD of 533, 702, 355, 160?

GCD of 533, 702, 355, 160 is 1

2. Where do I get the detailed procedure to find GCD of 533, 702, 355, 160?

You can find a detailed procedure to find GCD of 533, 702, 355, 160 on our page.

3. How to find GCD of 533, 702, 355, 160 on a calculator?

You can find the GCD of 533, 702, 355, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.