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 826, 178, 15, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 178, 15, 206 is 1
GCD(826, 178, 15, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 178, 15, 206 is 1
GCD(826, 178, 15, 206) = 1
Given Input numbers are 826, 178, 15, 206
To find the GCD of numbers using factoring list out all the divisors of each number
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 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 826, 178, 15, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 178, 15, 206 is 1.
Therefore, GCD of numbers 826, 178, 15, 206 is 1
Given Input Data is 826, 178, 15, 206
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 178 is 2 x 89
Prime Factorization of 15 is 3 x 5
Prime Factorization of 206 is 2 x 103
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(826, 178) = 73514
GCD(826, 178) = ( 826 x 178 ) / 73514
GCD(826, 178) = 147028 / 73514
GCD(826, 178) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 826, 178, 15, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 178, 15, 206?
GCD of 826, 178, 15, 206 is 1
2. Where do I get the detailed procedure to find GCD of 826, 178, 15, 206?
You can find a detailed procedure to find GCD of 826, 178, 15, 206 on our page.
3. How to find GCD of 826, 178, 15, 206 on a calculator?
You can find the GCD of 826, 178, 15, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.