GCD of 34, 562, 646, 965 Calculator

Given Input numbers are 34, 562, 646, 965

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 34, 562, 646, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 562, 646, 965 is 1.

Therefore, GCD of numbers 34, 562, 646, 965 is 1

Given Input Data is 34, 562, 646, 965

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 562 is 2 x 281

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 965 is 5 x 193

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(34, 562) = 9554

GCD(34, 562) = ( 34 x 562 ) / 9554

GCD(34, 562) = 19108 / 9554

GCD(34, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

GCD of 34, 562, 646, 965 is 1

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1. What is the GCD of 34, 562, 646, 965?

GCD of 34, 562, 646, 965 is 1

2. Where do I get the detailed procedure to find GCD of 34, 562, 646, 965?

You can find a detailed procedure to find GCD of 34, 562, 646, 965 on our page.

3. How to find GCD of 34, 562, 646, 965 on a calculator?

You can find the GCD of 34, 562, 646, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.