GCD of 529, 350, 312, 194 Calculator

Given Input numbers are 529, 350, 312, 194

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 529, 350, 312, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 350, 312, 194 is 1.

Therefore, GCD of numbers 529, 350, 312, 194 is 1

Given Input Data is 529, 350, 312, 194

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

Prime Factorization of 529 is 23 x 23

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 194 is 2 x 97

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(529, 350) = 185150

GCD(529, 350) = ( 529 x 350 ) / 185150

GCD(529, 350) = 185150 / 185150

GCD(529, 350) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 529, 350, 312, 194 is 1

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1. What is the GCD of 529, 350, 312, 194?

GCD of 529, 350, 312, 194 is 1

2. Where do I get the detailed procedure to find GCD of 529, 350, 312, 194?

You can find a detailed procedure to find GCD of 529, 350, 312, 194 on our page.

3. How to find GCD of 529, 350, 312, 194 on a calculator?

You can find the GCD of 529, 350, 312, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.