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 601, 186, 52, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 601, 186, 52, 735 is 1
GCD(601, 186, 52, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 601, 186, 52, 735 is 1
GCD(601, 186, 52, 735) = 1
Given Input numbers are 601, 186, 52, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 601, 186, 52, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 186, 52, 735 is 1.
Therefore, GCD of numbers 601, 186, 52, 735 is 1
Given Input Data is 601, 186, 52, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 601 is 601
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(601, 186) = 111786
GCD(601, 186) = ( 601 x 186 ) / 111786
GCD(601, 186) = 111786 / 111786
GCD(601, 186) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 601, 186, 52, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 601, 186, 52, 735?
GCD of 601, 186, 52, 735 is 1
2. Where do I get the detailed procedure to find GCD of 601, 186, 52, 735?
You can find a detailed procedure to find GCD of 601, 186, 52, 735 on our page.
3. How to find GCD of 601, 186, 52, 735 on a calculator?
You can find the GCD of 601, 186, 52, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.