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 145, 957, 52, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 957, 52, 969 is 1
GCD(145, 957, 52, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 957, 52, 969 is 1
GCD(145, 957, 52, 969) = 1
Given Input numbers are 145, 957, 52, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 145, 957, 52, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 957, 52, 969 is 1.
Therefore, GCD of numbers 145, 957, 52, 969 is 1
Given Input Data is 145, 957, 52, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 969 is 3 x 17 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(145, 957) = 4785
GCD(145, 957) = ( 145 x 957 ) / 4785
GCD(145, 957) = 138765 / 4785
GCD(145, 957) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 52) = 1508
GCD(29, 52) = ( 29 x 52 ) / 1508
GCD(29, 52) = 1508 / 1508
GCD(29, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 145, 957, 52, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 957, 52, 969?
GCD of 145, 957, 52, 969 is 1
2. Where do I get the detailed procedure to find GCD of 145, 957, 52, 969?
You can find a detailed procedure to find GCD of 145, 957, 52, 969 on our page.
3. How to find GCD of 145, 957, 52, 969 on a calculator?
You can find the GCD of 145, 957, 52, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.