GCD of 74, 918, 995, 678 Calculator

Given Input numbers are 74, 918, 995, 678

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 74, 918, 995, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 918, 995, 678 is 1.

Therefore, GCD of numbers 74, 918, 995, 678 is 1

Given Input Data is 74, 918, 995, 678

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

Prime Factorization of 74 is 2 x 37

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 678 is 2 x 3 x 113

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(74, 918) = 33966

GCD(74, 918) = ( 74 x 918 ) / 33966

GCD(74, 918) = 67932 / 33966

GCD(74, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 995

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

LCM(2, 995) = 1990

GCD(2, 995) = ( 2 x 995 ) / 1990

GCD(2, 995) = 1990 / 1990

GCD(2, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 74, 918, 995, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 329, 611, 809
• GCD of 86, 556, 506, 373
• GCD of 89, 174, 873, 422
• GCD of 87, 784, 218, 221
• GCD of 29, 859, 607, 881

1. What is the GCD of 74, 918, 995, 678?

GCD of 74, 918, 995, 678 is 1

2. Where do I get the detailed procedure to find GCD of 74, 918, 995, 678?

You can find a detailed procedure to find GCD of 74, 918, 995, 678 on our page.

3. How to find GCD of 74, 918, 995, 678 on a calculator?

You can find the GCD of 74, 918, 995, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.