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 39, 741, 101, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 741, 101, 161 is 1
GCD(39, 741, 101, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 741, 101, 161 is 1
GCD(39, 741, 101, 161) = 1
Given Input numbers are 39, 741, 101, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 39, 741, 101, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 741, 101, 161 is 1.
Therefore, GCD of numbers 39, 741, 101, 161 is 1
Given Input Data is 39, 741, 101, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 101 is 101
Prime Factorization of 161 is 7 x 23
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(39, 741) = 741
GCD(39, 741) = ( 39 x 741 ) / 741
GCD(39, 741) = 28899 / 741
GCD(39, 741) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 101) = 3939
GCD(39, 101) = ( 39 x 101 ) / 3939
GCD(39, 101) = 3939 / 3939
GCD(39, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 39, 741, 101, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 741, 101, 161?
GCD of 39, 741, 101, 161 is 1
2. Where do I get the detailed procedure to find GCD of 39, 741, 101, 161?
You can find a detailed procedure to find GCD of 39, 741, 101, 161 on our page.
3. How to find GCD of 39, 741, 101, 161 on a calculator?
You can find the GCD of 39, 741, 101, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.