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 965, 954, 628, 418 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 954, 628, 418 is 1
GCD(965, 954, 628, 418) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 954, 628, 418 is 1
GCD(965, 954, 628, 418) = 1
Given Input numbers are 965, 954, 628, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 965, 954, 628, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 954, 628, 418 is 1.
Therefore, GCD of numbers 965, 954, 628, 418 is 1
Given Input Data is 965, 954, 628, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 418 is 2 x 11 x 19
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(965, 954) = 920610
GCD(965, 954) = ( 965 x 954 ) / 920610
GCD(965, 954) = 920610 / 920610
GCD(965, 954) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
GCD of 965, 954, 628, 418 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 954, 628, 418?
GCD of 965, 954, 628, 418 is 1
2. Where do I get the detailed procedure to find GCD of 965, 954, 628, 418?
You can find a detailed procedure to find GCD of 965, 954, 628, 418 on our page.
3. How to find GCD of 965, 954, 628, 418 on a calculator?
You can find the GCD of 965, 954, 628, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.