GCD of 131, 574, 689, 335 Calculator

Given Input numbers are 131, 574, 689, 335

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 131, 574, 689, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 574, 689, 335 is 1.

Therefore, GCD of numbers 131, 574, 689, 335 is 1

Given Input Data is 131, 574, 689, 335

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

Prime Factorization of 131 is 131

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 689 is 13 x 53

Prime Factorization of 335 is 5 x 67

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(131, 574) = 75194

GCD(131, 574) = ( 131 x 574 ) / 75194

GCD(131, 574) = 75194 / 75194

GCD(131, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 131, 574, 689, 335 is 1

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1. What is the GCD of 131, 574, 689, 335?

GCD of 131, 574, 689, 335 is 1

2. Where do I get the detailed procedure to find GCD of 131, 574, 689, 335?

You can find a detailed procedure to find GCD of 131, 574, 689, 335 on our page.

3. How to find GCD of 131, 574, 689, 335 on a calculator?

You can find the GCD of 131, 574, 689, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.