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 41, 759, 169, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 759, 169, 753 is 1
GCD(41, 759, 169, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 759, 169, 753 is 1
GCD(41, 759, 169, 753) = 1
Given Input numbers are 41, 759, 169, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 41, 759, 169, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 759, 169, 753 is 1.
Therefore, GCD of numbers 41, 759, 169, 753 is 1
Given Input Data is 41, 759, 169, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 169 is 13 x 13
Prime Factorization of 753 is 3 x 251
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(41, 759) = 31119
GCD(41, 759) = ( 41 x 759 ) / 31119
GCD(41, 759) = 31119 / 31119
GCD(41, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 41, 759, 169, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 759, 169, 753?
GCD of 41, 759, 169, 753 is 1
2. Where do I get the detailed procedure to find GCD of 41, 759, 169, 753?
You can find a detailed procedure to find GCD of 41, 759, 169, 753 on our page.
3. How to find GCD of 41, 759, 169, 753 on a calculator?
You can find the GCD of 41, 759, 169, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.