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 740, 999, 63, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 999, 63, 162 is 1
GCD(740, 999, 63, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 999, 63, 162 is 1
GCD(740, 999, 63, 162) = 1
Given Input numbers are 740, 999, 63, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 740, 999, 63, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 999, 63, 162 is 1.
Therefore, GCD of numbers 740, 999, 63, 162 is 1
Given Input Data is 740, 999, 63, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(740, 999) = 19980
GCD(740, 999) = ( 740 x 999 ) / 19980
GCD(740, 999) = 739260 / 19980
GCD(740, 999) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 63) = 2331
GCD(37, 63) = ( 37 x 63 ) / 2331
GCD(37, 63) = 2331 / 2331
GCD(37, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 740, 999, 63, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 999, 63, 162?
GCD of 740, 999, 63, 162 is 1
2. Where do I get the detailed procedure to find GCD of 740, 999, 63, 162?
You can find a detailed procedure to find GCD of 740, 999, 63, 162 on our page.
3. How to find GCD of 740, 999, 63, 162 on a calculator?
You can find the GCD of 740, 999, 63, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.