GCD of 867, 680, 38, 140 Calculator

Given Input numbers are 867, 680, 38, 140

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 38

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

1, 2, 19, 38

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 867, 680, 38, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 680, 38, 140 is 1.

Therefore, GCD of numbers 867, 680, 38, 140 is 1

Given Input Data is 867, 680, 38, 140

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 38 is 2 x 19

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(867, 680) = 34680

GCD(867, 680) = ( 867 x 680 ) / 34680

GCD(867, 680) = 589560 / 34680

GCD(867, 680) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 38

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

LCM(17, 38) = 646

GCD(17, 38) = ( 17 x 38 ) / 646

GCD(17, 38) = 646 / 646

GCD(17, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 867, 680, 38, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 255, 24, 517
• GCD of 273, 719, 25, 389
• GCD of 888, 138, 68, 132
• GCD of 128, 616, 13, 206
• GCD of 706, 405, 38, 345

1. What is the GCD of 867, 680, 38, 140?

GCD of 867, 680, 38, 140 is 1

2. Where do I get the detailed procedure to find GCD of 867, 680, 38, 140?

You can find a detailed procedure to find GCD of 867, 680, 38, 140 on our page.

3. How to find GCD of 867, 680, 38, 140 on a calculator?

You can find the GCD of 867, 680, 38, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.