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, 133, 40, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 133, 40, 157 is 1
GCD(741, 133, 40, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 133, 40, 157 is 1
GCD(741, 133, 40, 157) = 1
Given Input numbers are 741, 133, 40, 157
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 741, 133, 40, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 133, 40, 157 is 1.
Therefore, GCD of numbers 741, 133, 40, 157 is 1
Given Input Data is 741, 133, 40, 157
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 133 is 7 x 19
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 157 is 157
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, 133) = 5187
GCD(741, 133) = ( 741 x 133 ) / 5187
GCD(741, 133) = 98553 / 5187
GCD(741, 133) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 40) = 760
GCD(19, 40) = ( 19 x 40 ) / 760
GCD(19, 40) = 760 / 760
GCD(19, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 741, 133, 40, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 133, 40, 157?
GCD of 741, 133, 40, 157 is 1
2. Where do I get the detailed procedure to find GCD of 741, 133, 40, 157?
You can find a detailed procedure to find GCD of 741, 133, 40, 157 on our page.
3. How to find GCD of 741, 133, 40, 157 on a calculator?
You can find the GCD of 741, 133, 40, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.