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 53, 967, 629, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 967, 629, 121 is 1
GCD(53, 967, 629, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 967, 629, 121 is 1
GCD(53, 967, 629, 121) = 1
Given Input numbers are 53, 967, 629, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 53, 967, 629, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 967, 629, 121 is 1.
Therefore, GCD of numbers 53, 967, 629, 121 is 1
Given Input Data is 53, 967, 629, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 967 is 967
Prime Factorization of 629 is 17 x 37
Prime Factorization of 121 is 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(53, 967) = 51251
GCD(53, 967) = ( 53 x 967 ) / 51251
GCD(53, 967) = 51251 / 51251
GCD(53, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 53, 967, 629, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 967, 629, 121?
GCD of 53, 967, 629, 121 is 1
2. Where do I get the detailed procedure to find GCD of 53, 967, 629, 121?
You can find a detailed procedure to find GCD of 53, 967, 629, 121 on our page.
3. How to find GCD of 53, 967, 629, 121 on a calculator?
You can find the GCD of 53, 967, 629, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.