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, 143, 42, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 143, 42, 387 is 1
GCD(616, 143, 42, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 143, 42, 387 is 1
GCD(616, 143, 42, 387) = 1
Given Input numbers are 616, 143, 42, 387
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 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 616, 143, 42, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 143, 42, 387 is 1.
Therefore, GCD of numbers 616, 143, 42, 387 is 1
Given Input Data is 616, 143, 42, 387
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 143 is 11 x 13
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 387 is 3 x 3 x 43
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, 143) = 8008
GCD(616, 143) = ( 616 x 143 ) / 8008
GCD(616, 143) = 88088 / 8008
GCD(616, 143) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 42) = 462
GCD(11, 42) = ( 11 x 42 ) / 462
GCD(11, 42) = 462 / 462
GCD(11, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 616, 143, 42, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 143, 42, 387?
GCD of 616, 143, 42, 387 is 1
2. Where do I get the detailed procedure to find GCD of 616, 143, 42, 387?
You can find a detailed procedure to find GCD of 616, 143, 42, 387 on our page.
3. How to find GCD of 616, 143, 42, 387 on a calculator?
You can find the GCD of 616, 143, 42, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.