GCD of 80, 696, 674, 605 Calculator

Given Input numbers are 80, 696, 674, 605

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 80, 696, 674, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 696, 674, 605 is 1.

Therefore, GCD of numbers 80, 696, 674, 605 is 1

Given Input Data is 80, 696, 674, 605

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 674 is 2 x 337

Prime Factorization of 605 is 5 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(80, 696) = 6960

GCD(80, 696) = ( 80 x 696 ) / 6960

GCD(80, 696) = 55680 / 6960

GCD(80, 696) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 674

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

LCM(8, 674) = 2696

GCD(8, 674) = ( 8 x 674 ) / 2696

GCD(8, 674) = 5392 / 2696

GCD(8, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

GCD of 80, 696, 674, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 441, 204, 836
• GCD of 61, 882, 425, 535
• GCD of 81, 989, 111, 632
• GCD of 24, 448, 880, 387
• GCD of 10, 188, 499, 779

1. What is the GCD of 80, 696, 674, 605?

GCD of 80, 696, 674, 605 is 1

2. Where do I get the detailed procedure to find GCD of 80, 696, 674, 605?

You can find a detailed procedure to find GCD of 80, 696, 674, 605 on our page.

3. How to find GCD of 80, 696, 674, 605 on a calculator?

You can find the GCD of 80, 696, 674, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.