GCD of 634, 310, 346, 969 Calculator

Given Input numbers are 634, 310, 346, 969

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

Divisors of 634

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

1, 2, 317, 634

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 634, 310, 346, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 310, 346, 969 is 1.

Therefore, GCD of numbers 634, 310, 346, 969 is 1

Given Input Data is 634, 310, 346, 969

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 346 is 2 x 173

Prime Factorization of 969 is 3 x 17 x 19

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(634, 310) = 98270

GCD(634, 310) = ( 634 x 310 ) / 98270

GCD(634, 310) = 196540 / 98270

GCD(634, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 634, 310, 346, 969 is 1

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1. What is the GCD of 634, 310, 346, 969?

GCD of 634, 310, 346, 969 is 1

2. Where do I get the detailed procedure to find GCD of 634, 310, 346, 969?

You can find a detailed procedure to find GCD of 634, 310, 346, 969 on our page.

3. How to find GCD of 634, 310, 346, 969 on a calculator?

You can find the GCD of 634, 310, 346, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.