GCD of 431, 456, 342, 374 Calculator

Given Input numbers are 431, 456, 342, 374

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 431, 456, 342, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 456, 342, 374 is 1.

Therefore, GCD of numbers 431, 456, 342, 374 is 1

Given Input Data is 431, 456, 342, 374

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

Prime Factorization of 431 is 431

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 374 is 2 x 11 x 17

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, 456) = 196536

GCD(431, 456) = ( 431 x 456 ) / 196536

GCD(431, 456) = 196536 / 196536

GCD(431, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 431, 456, 342, 374 is 1

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1. What is the GCD of 431, 456, 342, 374?

GCD of 431, 456, 342, 374 is 1

2. Where do I get the detailed procedure to find GCD of 431, 456, 342, 374?

You can find a detailed procedure to find GCD of 431, 456, 342, 374 on our page.

3. How to find GCD of 431, 456, 342, 374 on a calculator?

You can find the GCD of 431, 456, 342, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.