GCD of 956, 102, 345, 434 Calculator

Given Input numbers are 956, 102, 345, 434

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 956, 102, 345, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 102, 345, 434 is 1.

Therefore, GCD of numbers 956, 102, 345, 434 is 1

Given Input Data is 956, 102, 345, 434

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 434 is 2 x 7 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(956, 102) = 48756

GCD(956, 102) = ( 956 x 102 ) / 48756

GCD(956, 102) = 97512 / 48756

GCD(956, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 956, 102, 345, 434 is 1

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1. What is the GCD of 956, 102, 345, 434?

GCD of 956, 102, 345, 434 is 1

2. Where do I get the detailed procedure to find GCD of 956, 102, 345, 434?

You can find a detailed procedure to find GCD of 956, 102, 345, 434 on our page.

3. How to find GCD of 956, 102, 345, 434 on a calculator?

You can find the GCD of 956, 102, 345, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.