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 144, 612, 952, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 612, 952, 849 is 1
GCD(144, 612, 952, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 612, 952, 849 is 1
GCD(144, 612, 952, 849) = 1
Given Input numbers are 144, 612, 952, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 144, 612, 952, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 612, 952, 849 is 1.
Therefore, GCD of numbers 144, 612, 952, 849 is 1
Given Input Data is 144, 612, 952, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 849 is 3 x 283
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(144, 612) = 2448
GCD(144, 612) = ( 144 x 612 ) / 2448
GCD(144, 612) = 88128 / 2448
GCD(144, 612) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 952) = 8568
GCD(36, 952) = ( 36 x 952 ) / 8568
GCD(36, 952) = 34272 / 8568
GCD(36, 952) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 849) = 3396
GCD(4, 849) = ( 4 x 849 ) / 3396
GCD(4, 849) = 3396 / 3396
GCD(4, 849) = 1
GCD of 144, 612, 952, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 612, 952, 849?
GCD of 144, 612, 952, 849 is 1
2. Where do I get the detailed procedure to find GCD of 144, 612, 952, 849?
You can find a detailed procedure to find GCD of 144, 612, 952, 849 on our page.
3. How to find GCD of 144, 612, 952, 849 on a calculator?
You can find the GCD of 144, 612, 952, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.