GCD of 431, 958, 668, 825 Calculator

Given Input numbers are 431, 958, 668, 825

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 431, 958, 668, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 958, 668, 825 is 1.

Therefore, GCD of numbers 431, 958, 668, 825 is 1

Given Input Data is 431, 958, 668, 825

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

Prime Factorization of 431 is 431

Prime Factorization of 958 is 2 x 479

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 958) = 412898

GCD(431, 958) = ( 431 x 958 ) / 412898

GCD(431, 958) = 412898 / 412898

GCD(431, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 431, 958, 668, 825 is 1

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1. What is the GCD of 431, 958, 668, 825?

GCD of 431, 958, 668, 825 is 1

2. Where do I get the detailed procedure to find GCD of 431, 958, 668, 825?

You can find a detailed procedure to find GCD of 431, 958, 668, 825 on our page.

3. How to find GCD of 431, 958, 668, 825 on a calculator?

You can find the GCD of 431, 958, 668, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.