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, 420, 953, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 420, 953, 968 is 1
GCD(965, 420, 953, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 420, 953, 968 is 1
GCD(965, 420, 953, 968) = 1
Given Input numbers are 965, 420, 953, 968
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 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 965, 420, 953, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 420, 953, 968 is 1.
Therefore, GCD of numbers 965, 420, 953, 968 is 1
Given Input Data is 965, 420, 953, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 953 is 953
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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, 420) = 81060
GCD(965, 420) = ( 965 x 420 ) / 81060
GCD(965, 420) = 405300 / 81060
GCD(965, 420) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 953) = 4765
GCD(5, 953) = ( 5 x 953 ) / 4765
GCD(5, 953) = 4765 / 4765
GCD(5, 953) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 965, 420, 953, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 420, 953, 968?
GCD of 965, 420, 953, 968 is 1
2. Where do I get the detailed procedure to find GCD of 965, 420, 953, 968?
You can find a detailed procedure to find GCD of 965, 420, 953, 968 on our page.
3. How to find GCD of 965, 420, 953, 968 on a calculator?
You can find the GCD of 965, 420, 953, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.