GCD of 104, 791, 74, 677 Calculator

Given Input numbers are 104, 791, 74, 677

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 74

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

1, 2, 37, 74

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 104, 791, 74, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 791, 74, 677 is 1.

Therefore, GCD of numbers 104, 791, 74, 677 is 1

Given Input Data is 104, 791, 74, 677

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 791 is 7 x 113

Prime Factorization of 74 is 2 x 37

Prime Factorization of 677 is 677

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(104, 791) = 82264

GCD(104, 791) = ( 104 x 791 ) / 82264

GCD(104, 791) = 82264 / 82264

GCD(104, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 104, 791, 74, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 191, 67, 467
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• GCD of 723, 585, 10, 291
• GCD of 916, 789, 20, 125
• GCD of 763, 276, 19, 805

1. What is the GCD of 104, 791, 74, 677?

GCD of 104, 791, 74, 677 is 1

2. Where do I get the detailed procedure to find GCD of 104, 791, 74, 677?

You can find a detailed procedure to find GCD of 104, 791, 74, 677 on our page.

3. How to find GCD of 104, 791, 74, 677 on a calculator?

You can find the GCD of 104, 791, 74, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.