GCD of 867, 120, 10, 680 Calculator

Given Input numbers are 867, 120, 10, 680

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 867, 120, 10, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 120, 10, 680 is 1.

Therefore, GCD of numbers 867, 120, 10, 680 is 1

Given Input Data is 867, 120, 10, 680

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 10 is 2 x 5

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

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, 120) = 34680

GCD(867, 120) = ( 867 x 120 ) / 34680

GCD(867, 120) = 104040 / 34680

GCD(867, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 867, 120, 10, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 394, 99, 793
• GCD of 950, 165, 58, 515
• GCD of 817, 501, 45, 653
• GCD of 431, 613, 72, 782
• GCD of 503, 185, 94, 204

1. What is the GCD of 867, 120, 10, 680?

GCD of 867, 120, 10, 680 is 1

2. Where do I get the detailed procedure to find GCD of 867, 120, 10, 680?

You can find a detailed procedure to find GCD of 867, 120, 10, 680 on our page.

3. How to find GCD of 867, 120, 10, 680 on a calculator?

You can find the GCD of 867, 120, 10, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.