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, 598, 88, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 598, 88, 601 is 1
GCD(741, 598, 88, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 598, 88, 601 is 1
GCD(741, 598, 88, 601) = 1
Given Input numbers are 741, 598, 88, 601
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 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 741, 598, 88, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 598, 88, 601 is 1.
Therefore, GCD of numbers 741, 598, 88, 601 is 1
Given Input Data is 741, 598, 88, 601
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 598 is 2 x 13 x 23
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 601 is 601
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, 598) = 34086
GCD(741, 598) = ( 741 x 598 ) / 34086
GCD(741, 598) = 443118 / 34086
GCD(741, 598) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 88) = 1144
GCD(13, 88) = ( 13 x 88 ) / 1144
GCD(13, 88) = 1144 / 1144
GCD(13, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 741, 598, 88, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 598, 88, 601?
GCD of 741, 598, 88, 601 is 1
2. Where do I get the detailed procedure to find GCD of 741, 598, 88, 601?
You can find a detailed procedure to find GCD of 741, 598, 88, 601 on our page.
3. How to find GCD of 741, 598, 88, 601 on a calculator?
You can find the GCD of 741, 598, 88, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.