Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 68, 826, 142, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 826, 142, 107 is 1
GCD(68, 826, 142, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 826, 142, 107 is 1
GCD(68, 826, 142, 107) = 1
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.
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.