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 749, 841, 41 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 841, 41 is 1
GCD(749, 841, 41) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 841, 41 is 1
GCD(749, 841, 41) = 1
Given Input numbers are 749, 841, 41
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Greatest Common Divisior
We found the divisors of 749, 841, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 841, 41 is 1.
Therefore, GCD of numbers 749, 841, 41 is 1
Given Input Data is 749, 841, 41
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 841 is 29 x 29
Prime Factorization of 41 is 41
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(749, 841) = 629909
GCD(749, 841) = ( 749 x 841 ) / 629909
GCD(749, 841) = 629909 / 629909
GCD(749, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
GCD of 749, 841, 41 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 841, 41?
GCD of 749, 841, 41 is 1
2. Where do I get the detailed procedure to find GCD of 749, 841, 41?
You can find a detailed procedure to find GCD of 749, 841, 41 on our page.
3. How to find GCD of 749, 841, 41 on a calculator?
You can find the GCD of 749, 841, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.