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 741, 301, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 301, 616 is 1
GCD(741, 301, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 301, 616 is 1
GCD(741, 301, 616) = 1
Given Input numbers are 741, 301, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
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
Greatest Common Divisior
We found the divisors of 741, 301, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 301, 616 is 1.
Therefore, GCD of numbers 741, 301, 616 is 1
Given Input Data is 741, 301, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 301 is 7 x 43
Prime Factorization of 616 is 2 x 2 x 2 x 7 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(741, 301) = 223041
GCD(741, 301) = ( 741 x 301 ) / 223041
GCD(741, 301) = 223041 / 223041
GCD(741, 301) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 741, 301, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 301, 616?
GCD of 741, 301, 616 is 1
2. Where do I get the detailed procedure to find GCD of 741, 301, 616?
You can find a detailed procedure to find GCD of 741, 301, 616 on our page.
3. How to find GCD of 741, 301, 616 on a calculator?
You can find the GCD of 741, 301, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.