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, 759, 11, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 759, 11, 497 is 1
GCD(238, 759, 11, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 759, 11, 497 is 1
GCD(238, 759, 11, 497) = 1
Given Input numbers are 238, 759, 11, 497
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 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 238, 759, 11, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 759, 11, 497 is 1.
Therefore, GCD of numbers 238, 759, 11, 497 is 1
Given Input Data is 238, 759, 11, 497
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 759 is 3 x 11 x 23
Prime Factorization of 11 is 11
Prime Factorization of 497 is 7 x 71
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, 759) = 180642
GCD(238, 759) = ( 238 x 759 ) / 180642
GCD(238, 759) = 180642 / 180642
GCD(238, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
GCD(1, 497) = 497 / 497
GCD(1, 497) = 1
GCD of 238, 759, 11, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 759, 11, 497?
GCD of 238, 759, 11, 497 is 1
2. Where do I get the detailed procedure to find GCD of 238, 759, 11, 497?
You can find a detailed procedure to find GCD of 238, 759, 11, 497 on our page.
3. How to find GCD of 238, 759, 11, 497 on a calculator?
You can find the GCD of 238, 759, 11, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.