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 616, 206, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 206, 407 is 1
GCD(616, 206, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 206, 407 is 1
GCD(616, 206, 407) = 1
Given Input numbers are 616, 206, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 616, 206, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 206, 407 is 1.
Therefore, GCD of numbers 616, 206, 407 is 1
Given Input Data is 616, 206, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 206 is 2 x 103
Prime Factorization of 407 is 11 x 37
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(616, 206) = 63448
GCD(616, 206) = ( 616 x 206 ) / 63448
GCD(616, 206) = 126896 / 63448
GCD(616, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
GCD of 616, 206, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 206, 407?
GCD of 616, 206, 407 is 1
2. Where do I get the detailed procedure to find GCD of 616, 206, 407?
You can find a detailed procedure to find GCD of 616, 206, 407 on our page.
3. How to find GCD of 616, 206, 407 on a calculator?
You can find the GCD of 616, 206, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.