GCD of 532, 350, 89, 293 Calculator

Given Input numbers are 532, 350, 89, 293

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 532, 350, 89, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 350, 89, 293 is 1.

Therefore, GCD of numbers 532, 350, 89, 293 is 1

Given Input Data is 532, 350, 89, 293

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 89 is 89

Prime Factorization of 293 is 293

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(532, 350) = 13300

GCD(532, 350) = ( 532 x 350 ) / 13300

GCD(532, 350) = 186200 / 13300

GCD(532, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 89

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

LCM(14, 89) = 1246

GCD(14, 89) = ( 14 x 89 ) / 1246

GCD(14, 89) = 1246 / 1246

GCD(14, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 532, 350, 89, 293 is 1

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1. What is the GCD of 532, 350, 89, 293?

GCD of 532, 350, 89, 293 is 1

2. Where do I get the detailed procedure to find GCD of 532, 350, 89, 293?

You can find a detailed procedure to find GCD of 532, 350, 89, 293 on our page.

3. How to find GCD of 532, 350, 89, 293 on a calculator?

You can find the GCD of 532, 350, 89, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.