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 176, 206, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 206, 137 is 1
GCD(176, 206, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 206, 137 is 1
GCD(176, 206, 137) = 1
Given Input numbers are 176, 206, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 176, 206, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 206, 137 is 1.
Therefore, GCD of numbers 176, 206, 137 is 1
Given Input Data is 176, 206, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 206 is 2 x 103
Prime Factorization of 137 is 137
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(176, 206) = 18128
GCD(176, 206) = ( 176 x 206 ) / 18128
GCD(176, 206) = 36256 / 18128
GCD(176, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
GCD(2, 137) = 274 / 274
GCD(2, 137) = 1
GCD of 176, 206, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 206, 137?
GCD of 176, 206, 137 is 1
2. Where do I get the detailed procedure to find GCD of 176, 206, 137?
You can find a detailed procedure to find GCD of 176, 206, 137 on our page.
3. How to find GCD of 176, 206, 137 on a calculator?
You can find the GCD of 176, 206, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.