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, 510, 243, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 510, 243, 150 is 1
GCD(616, 510, 243, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 510, 243, 150 is 1
GCD(616, 510, 243, 150) = 1
Given Input numbers are 616, 510, 243, 150
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 616, 510, 243, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 510, 243, 150 is 1.
Therefore, GCD of numbers 616, 510, 243, 150 is 1
Given Input Data is 616, 510, 243, 150
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 510 is 2 x 3 x 5 x 17
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 150 is 2 x 3 x 5 x 5
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, 510) = 157080
GCD(616, 510) = ( 616 x 510 ) / 157080
GCD(616, 510) = 314160 / 157080
GCD(616, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 616, 510, 243, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 510, 243, 150?
GCD of 616, 510, 243, 150 is 1
2. Where do I get the detailed procedure to find GCD of 616, 510, 243, 150?
You can find a detailed procedure to find GCD of 616, 510, 243, 150 on our page.
3. How to find GCD of 616, 510, 243, 150 on a calculator?
You can find the GCD of 616, 510, 243, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.