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, 437, 61 i.e. 1 largest integer that divides all the numbers equally.
GCD of 208, 437, 61 is 1
GCD(208, 437, 61) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 437, 61 is 1
GCD(208, 437, 61) = 1
Given Input numbers are 208, 437, 61
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 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Greatest Common Divisior
We found the divisors of 208, 437, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 437, 61 is 1.
Therefore, GCD of numbers 208, 437, 61 is 1
Given Input Data is 208, 437, 61
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 437 is 19 x 23
Prime Factorization of 61 is 61
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, 437) = 90896
GCD(208, 437) = ( 208 x 437 ) / 90896
GCD(208, 437) = 90896 / 90896
GCD(208, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
GCD of 208, 437, 61 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 437, 61?
GCD of 208, 437, 61 is 1
2. Where do I get the detailed procedure to find GCD of 208, 437, 61?
You can find a detailed procedure to find GCD of 208, 437, 61 on our page.
3. How to find GCD of 208, 437, 61 on a calculator?
You can find the GCD of 208, 437, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.