GCD of 431, 698, 142, 599 Calculator

Given Input numbers are 431, 698, 142, 599

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 431, 698, 142, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 698, 142, 599 is 1.

Therefore, GCD of numbers 431, 698, 142, 599 is 1

Given Input Data is 431, 698, 142, 599

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

Prime Factorization of 431 is 431

Prime Factorization of 698 is 2 x 349

Prime Factorization of 142 is 2 x 71

Prime Factorization of 599 is 599

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(431, 698) = 300838

GCD(431, 698) = ( 431 x 698 ) / 300838

GCD(431, 698) = 300838 / 300838

GCD(431, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

GCD of 431, 698, 142, 599 is 1

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1. What is the GCD of 431, 698, 142, 599?

GCD of 431, 698, 142, 599 is 1

2. Where do I get the detailed procedure to find GCD of 431, 698, 142, 599?

You can find a detailed procedure to find GCD of 431, 698, 142, 599 on our page.

3. How to find GCD of 431, 698, 142, 599 on a calculator?

You can find the GCD of 431, 698, 142, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.