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 238, 833, 921, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 833, 921, 969 is 1
GCD(238, 833, 921, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 833, 921, 969 is 1
GCD(238, 833, 921, 969) = 1
Given Input numbers are 238, 833, 921, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
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 238, 833, 921, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 833, 921, 969 is 1.
Therefore, GCD of numbers 238, 833, 921, 969 is 1
Given Input Data is 238, 833, 921, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 833 is 7 x 7 x 17
Prime Factorization of 921 is 3 x 307
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(238, 833) = 1666
GCD(238, 833) = ( 238 x 833 ) / 1666
GCD(238, 833) = 198254 / 1666
GCD(238, 833) = 119
Step2:
Here we consider the GCD from the above i.e. 119 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(119, 921) = 109599
GCD(119, 921) = ( 119 x 921 ) / 109599
GCD(119, 921) = 109599 / 109599
GCD(119, 921) = 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 238, 833, 921, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 833, 921, 969?
GCD of 238, 833, 921, 969 is 1
2. Where do I get the detailed procedure to find GCD of 238, 833, 921, 969?
You can find a detailed procedure to find GCD of 238, 833, 921, 969 on our page.
3. How to find GCD of 238, 833, 921, 969 on a calculator?
You can find the GCD of 238, 833, 921, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.