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 134, 206, 69, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 206, 69, 121 is 1
GCD(134, 206, 69, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 206, 69, 121 is 1
GCD(134, 206, 69, 121) = 1
Given Input numbers are 134, 206, 69, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 134, 206, 69, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 206, 69, 121 is 1.
Therefore, GCD of numbers 134, 206, 69, 121 is 1
Given Input Data is 134, 206, 69, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 206 is 2 x 103
Prime Factorization of 69 is 3 x 23
Prime Factorization of 121 is 11 x 11
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(134, 206) = 13802
GCD(134, 206) = ( 134 x 206 ) / 13802
GCD(134, 206) = 27604 / 13802
GCD(134, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 134, 206, 69, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 206, 69, 121?
GCD of 134, 206, 69, 121 is 1
2. Where do I get the detailed procedure to find GCD of 134, 206, 69, 121?
You can find a detailed procedure to find GCD of 134, 206, 69, 121 on our page.
3. How to find GCD of 134, 206, 69, 121 on a calculator?
You can find the GCD of 134, 206, 69, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.