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 46, 739, 366, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 739, 366, 635 is 1
GCD(46, 739, 366, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 739, 366, 635 is 1
GCD(46, 739, 366, 635) = 1
Given Input numbers are 46, 739, 366, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 46, 739, 366, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 739, 366, 635 is 1.
Therefore, GCD of numbers 46, 739, 366, 635 is 1
Given Input Data is 46, 739, 366, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 739 is 739
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 635 is 5 x 127
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(46, 739) = 33994
GCD(46, 739) = ( 46 x 739 ) / 33994
GCD(46, 739) = 33994 / 33994
GCD(46, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 46, 739, 366, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 739, 366, 635?
GCD of 46, 739, 366, 635 is 1
2. Where do I get the detailed procedure to find GCD of 46, 739, 366, 635?
You can find a detailed procedure to find GCD of 46, 739, 366, 635 on our page.
3. How to find GCD of 46, 739, 366, 635 on a calculator?
You can find the GCD of 46, 739, 366, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.