GCD of 918, 646, 45, 968 Calculator

Given Input numbers are 918, 646, 45, 968

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 918, 646, 45, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 646, 45, 968 is 1.

Therefore, GCD of numbers 918, 646, 45, 968 is 1

Given Input Data is 918, 646, 45, 968

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(918, 646) = 17442

GCD(918, 646) = ( 918 x 646 ) / 17442

GCD(918, 646) = 593028 / 17442

GCD(918, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 45

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

LCM(34, 45) = 1530

GCD(34, 45) = ( 34 x 45 ) / 1530

GCD(34, 45) = 1530 / 1530

GCD(34, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 918, 646, 45, 968 is 1

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1. What is the GCD of 918, 646, 45, 968?

GCD of 918, 646, 45, 968 is 1

2. Where do I get the detailed procedure to find GCD of 918, 646, 45, 968?

You can find a detailed procedure to find GCD of 918, 646, 45, 968 on our page.

3. How to find GCD of 918, 646, 45, 968 on a calculator?

You can find the GCD of 918, 646, 45, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.