GCD of 68, 826, 142, 107 Calculator

Given Input numbers are 68, 826, 142, 107

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 68, 826, 142, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 826, 142, 107 is 1.

Therefore, GCD of numbers 68, 826, 142, 107 is 1

Given Input Data is 68, 826, 142, 107

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 142 is 2 x 71

Prime Factorization of 107 is 107

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(68, 826) = 28084

GCD(68, 826) = ( 68 x 826 ) / 28084

GCD(68, 826) = 56168 / 28084

GCD(68, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 68, 826, 142, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 689, 836, 738
• GCD of 40, 202, 411, 928
• GCD of 43, 653, 556, 920
• GCD of 39, 625, 791, 684
• GCD of 68, 164, 650, 376

1. What is the GCD of 68, 826, 142, 107?

GCD of 68, 826, 142, 107 is 1

2. Where do I get the detailed procedure to find GCD of 68, 826, 142, 107?

You can find a detailed procedure to find GCD of 68, 826, 142, 107 on our page.

3. How to find GCD of 68, 826, 142, 107 on a calculator?

You can find the GCD of 68, 826, 142, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.