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, 841, 288, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 841, 288, 734 is 1
GCD(238, 841, 288, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 841, 288, 734 is 1
GCD(238, 841, 288, 734) = 1
Given Input numbers are 238, 841, 288, 734
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 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 238, 841, 288, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 841, 288, 734 is 1.
Therefore, GCD of numbers 238, 841, 288, 734 is 1
Given Input Data is 238, 841, 288, 734
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 841 is 29 x 29
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 734 is 2 x 367
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, 841) = 200158
GCD(238, 841) = ( 238 x 841 ) / 200158
GCD(238, 841) = 200158 / 200158
GCD(238, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 238, 841, 288, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 841, 288, 734?
GCD of 238, 841, 288, 734 is 1
2. Where do I get the detailed procedure to find GCD of 238, 841, 288, 734?
You can find a detailed procedure to find GCD of 238, 841, 288, 734 on our page.
3. How to find GCD of 238, 841, 288, 734 on a calculator?
You can find the GCD of 238, 841, 288, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.