GCD of 431, 618, 872, 745 Calculator

Given Input numbers are 431, 618, 872, 745

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 431, 618, 872, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 618, 872, 745 is 1.

Therefore, GCD of numbers 431, 618, 872, 745 is 1

Given Input Data is 431, 618, 872, 745

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

Prime Factorization of 431 is 431

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 745 is 5 x 149

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, 618) = 266358

GCD(431, 618) = ( 431 x 618 ) / 266358

GCD(431, 618) = 266358 / 266358

GCD(431, 618) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 431, 618, 872, 745 is 1

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1. What is the GCD of 431, 618, 872, 745?

GCD of 431, 618, 872, 745 is 1

2. Where do I get the detailed procedure to find GCD of 431, 618, 872, 745?

You can find a detailed procedure to find GCD of 431, 618, 872, 745 on our page.

3. How to find GCD of 431, 618, 872, 745 on a calculator?

You can find the GCD of 431, 618, 872, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.