GCD of 678, 105, 38, 958 Calculator

Given Input numbers are 678, 105, 38, 958

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 678, 105, 38, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 105, 38, 958 is 1.

Therefore, GCD of numbers 678, 105, 38, 958 is 1

Given Input Data is 678, 105, 38, 958

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 105 is 3 x 5 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 958 is 2 x 479

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, 105) = 23730

GCD(678, 105) = ( 678 x 105 ) / 23730

GCD(678, 105) = 71190 / 23730

GCD(678, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 678, 105, 38, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 688, 66, 513
• GCD of 231, 791, 92, 874
• GCD of 139, 248, 79, 984
• GCD of 445, 967, 73, 728
• GCD of 778, 380, 22, 752

1. What is the GCD of 678, 105, 38, 958?

GCD of 678, 105, 38, 958 is 1

2. Where do I get the detailed procedure to find GCD of 678, 105, 38, 958?

You can find a detailed procedure to find GCD of 678, 105, 38, 958 on our page.

3. How to find GCD of 678, 105, 38, 958 on a calculator?

You can find the GCD of 678, 105, 38, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.