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 208, 245, 134, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 245, 134, 110 is 1
GCD(208, 245, 134, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 245, 134, 110 is 1
GCD(208, 245, 134, 110) = 1
Given Input numbers are 208, 245, 134, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 208, 245, 134, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 245, 134, 110 is 1.
Therefore, GCD of numbers 208, 245, 134, 110 is 1
Given Input Data is 208, 245, 134, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 134 is 2 x 67
Prime Factorization of 110 is 2 x 5 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(208, 245) = 50960
GCD(208, 245) = ( 208 x 245 ) / 50960
GCD(208, 245) = 50960 / 50960
GCD(208, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 208, 245, 134, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 245, 134, 110?
GCD of 208, 245, 134, 110 is 1
2. Where do I get the detailed procedure to find GCD of 208, 245, 134, 110?
You can find a detailed procedure to find GCD of 208, 245, 134, 110 on our page.
3. How to find GCD of 208, 245, 134, 110 on a calculator?
You can find the GCD of 208, 245, 134, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.