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 141, 616, 14 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 616, 14 is 1
GCD(141, 616, 14) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 616, 14 is 1
GCD(141, 616, 14) = 1
Given Input numbers are 141, 616, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
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 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Greatest Common Divisior
We found the divisors of 141, 616, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 616, 14 is 1.
Therefore, GCD of numbers 141, 616, 14 is 1
Given Input Data is 141, 616, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 14 is 2 x 7
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(141, 616) = 86856
GCD(141, 616) = ( 141 x 616 ) / 86856
GCD(141, 616) = 86856 / 86856
GCD(141, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
GCD of 141, 616, 14 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 616, 14?
GCD of 141, 616, 14 is 1
2. Where do I get the detailed procedure to find GCD of 141, 616, 14?
You can find a detailed procedure to find GCD of 141, 616, 14 on our page.
3. How to find GCD of 141, 616, 14 on a calculator?
You can find the GCD of 141, 616, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.