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 635, 767, 16, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 767, 16, 417 is 1
GCD(635, 767, 16, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 767, 16, 417 is 1
GCD(635, 767, 16, 417) = 1
Given Input numbers are 635, 767, 16, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 635, 767, 16, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 767, 16, 417 is 1.
Therefore, GCD of numbers 635, 767, 16, 417 is 1
Given Input Data is 635, 767, 16, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 767 is 13 x 59
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 417 is 3 x 139
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(635, 767) = 487045
GCD(635, 767) = ( 635 x 767 ) / 487045
GCD(635, 767) = 487045 / 487045
GCD(635, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 635, 767, 16, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 767, 16, 417?
GCD of 635, 767, 16, 417 is 1
2. Where do I get the detailed procedure to find GCD of 635, 767, 16, 417?
You can find a detailed procedure to find GCD of 635, 767, 16, 417 on our page.
3. How to find GCD of 635, 767, 16, 417 on a calculator?
You can find the GCD of 635, 767, 16, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.