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 997, 962, 645, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 962, 645, 133 is 1
GCD(997, 962, 645, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 962, 645, 133 is 1
GCD(997, 962, 645, 133) = 1
Given Input numbers are 997, 962, 645, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 997, 962, 645, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 962, 645, 133 is 1.
Therefore, GCD of numbers 997, 962, 645, 133 is 1
Given Input Data is 997, 962, 645, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 133 is 7 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(997, 962) = 959114
GCD(997, 962) = ( 997 x 962 ) / 959114
GCD(997, 962) = 959114 / 959114
GCD(997, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 997, 962, 645, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 962, 645, 133?
GCD of 997, 962, 645, 133 is 1
2. Where do I get the detailed procedure to find GCD of 997, 962, 645, 133?
You can find a detailed procedure to find GCD of 997, 962, 645, 133 on our page.
3. How to find GCD of 997, 962, 645, 133 on a calculator?
You can find the GCD of 997, 962, 645, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.