GCD of 678, 291, 46, 944 Calculator

Given Input numbers are 678, 291, 46, 944

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 678, 291, 46, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 291, 46, 944 is 1.

Therefore, GCD of numbers 678, 291, 46, 944 is 1

Given Input Data is 678, 291, 46, 944

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 291 is 3 x 97

Prime Factorization of 46 is 2 x 23

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(678, 291) = 65766

GCD(678, 291) = ( 678 x 291 ) / 65766

GCD(678, 291) = 197298 / 65766

GCD(678, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 678, 291, 46, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 364, 41, 914
• GCD of 239, 468, 60, 728
• GCD of 672, 101, 16, 882
• GCD of 406, 328, 47, 388
• GCD of 861, 705, 84, 998

1. What is the GCD of 678, 291, 46, 944?

GCD of 678, 291, 46, 944 is 1

2. Where do I get the detailed procedure to find GCD of 678, 291, 46, 944?

You can find a detailed procedure to find GCD of 678, 291, 46, 944 on our page.

3. How to find GCD of 678, 291, 46, 944 on a calculator?

You can find the GCD of 678, 291, 46, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.