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 993, 612, 141, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 612, 141, 707 is 1
GCD(993, 612, 141, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 612, 141, 707 is 1
GCD(993, 612, 141, 707) = 1
Given Input numbers are 993, 612, 141, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
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 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 993, 612, 141, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 612, 141, 707 is 1.
Therefore, GCD of numbers 993, 612, 141, 707 is 1
Given Input Data is 993, 612, 141, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 141 is 3 x 47
Prime Factorization of 707 is 7 x 101
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(993, 612) = 202572
GCD(993, 612) = ( 993 x 612 ) / 202572
GCD(993, 612) = 607716 / 202572
GCD(993, 612) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
GCD(3, 141) = 423 / 141
GCD(3, 141) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 707) = 2121
GCD(3, 707) = ( 3 x 707 ) / 2121
GCD(3, 707) = 2121 / 2121
GCD(3, 707) = 1
GCD of 993, 612, 141, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 612, 141, 707?
GCD of 993, 612, 141, 707 is 1
2. Where do I get the detailed procedure to find GCD of 993, 612, 141, 707?
You can find a detailed procedure to find GCD of 993, 612, 141, 707 on our page.
3. How to find GCD of 993, 612, 141, 707 on a calculator?
You can find the GCD of 993, 612, 141, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.