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 65, 628, 788, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 628, 788, 417 is 1
GCD(65, 628, 788, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 628, 788, 417 is 1
GCD(65, 628, 788, 417) = 1
Given Input numbers are 65, 628, 788, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
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 65, 628, 788, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 628, 788, 417 is 1.
Therefore, GCD of numbers 65, 628, 788, 417 is 1
Given Input Data is 65, 628, 788, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 788 is 2 x 2 x 197
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(65, 628) = 40820
GCD(65, 628) = ( 65 x 628 ) / 40820
GCD(65, 628) = 40820 / 40820
GCD(65, 628) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 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 65, 628, 788, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 628, 788, 417?
GCD of 65, 628, 788, 417 is 1
2. Where do I get the detailed procedure to find GCD of 65, 628, 788, 417?
You can find a detailed procedure to find GCD of 65, 628, 788, 417 on our page.
3. How to find GCD of 65, 628, 788, 417 on a calculator?
You can find the GCD of 65, 628, 788, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.