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 741, 149, 13, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 149, 13, 461 is 1
GCD(741, 149, 13, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 149, 13, 461 is 1
GCD(741, 149, 13, 461) = 1
Given Input numbers are 741, 149, 13, 461
To find the GCD of numbers using factoring list out all the divisors of each number
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 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 741, 149, 13, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 149, 13, 461 is 1.
Therefore, GCD of numbers 741, 149, 13, 461 is 1
Given Input Data is 741, 149, 13, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 149 is 149
Prime Factorization of 13 is 13
Prime Factorization of 461 is 461
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(741, 149) = 110409
GCD(741, 149) = ( 741 x 149 ) / 110409
GCD(741, 149) = 110409 / 110409
GCD(741, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 741, 149, 13, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 149, 13, 461?
GCD of 741, 149, 13, 461 is 1
2. Where do I get the detailed procedure to find GCD of 741, 149, 13, 461?
You can find a detailed procedure to find GCD of 741, 149, 13, 461 on our page.
3. How to find GCD of 741, 149, 13, 461 on a calculator?
You can find the GCD of 741, 149, 13, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.