GCD of 345, 168, 634, 955 Calculator

Given Input numbers are 345, 168, 634, 955

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

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 345, 168, 634, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 168, 634, 955 is 1.

Therefore, GCD of numbers 345, 168, 634, 955 is 1

Given Input Data is 345, 168, 634, 955

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 634 is 2 x 317

Prime Factorization of 955 is 5 x 191

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(345, 168) = 19320

GCD(345, 168) = ( 345 x 168 ) / 19320

GCD(345, 168) = 57960 / 19320

GCD(345, 168) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 634

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

LCM(3, 634) = 1902

GCD(3, 634) = ( 3 x 634 ) / 1902

GCD(3, 634) = 1902 / 1902

GCD(3, 634) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 345, 168, 634, 955 is 1

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1. What is the GCD of 345, 168, 634, 955?

GCD of 345, 168, 634, 955 is 1

2. Where do I get the detailed procedure to find GCD of 345, 168, 634, 955?

You can find a detailed procedure to find GCD of 345, 168, 634, 955 on our page.

3. How to find GCD of 345, 168, 634, 955 on a calculator?

You can find the GCD of 345, 168, 634, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.