GCD of 431, 920, 962, 341 Calculator

Given Input numbers are 431, 920, 962, 341

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 431, 920, 962, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 920, 962, 341 is 1.

Therefore, GCD of numbers 431, 920, 962, 341 is 1

Given Input Data is 431, 920, 962, 341

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

Prime Factorization of 431 is 431

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 341 is 11 x 31

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, 920) = 396520

GCD(431, 920) = ( 431 x 920 ) / 396520

GCD(431, 920) = 396520 / 396520

GCD(431, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 431, 920, 962, 341 is 1

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1. What is the GCD of 431, 920, 962, 341?

GCD of 431, 920, 962, 341 is 1

2. Where do I get the detailed procedure to find GCD of 431, 920, 962, 341?

You can find a detailed procedure to find GCD of 431, 920, 962, 341 on our page.

3. How to find GCD of 431, 920, 962, 341 on a calculator?

You can find the GCD of 431, 920, 962, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.