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 814, 252, 75, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 252, 75, 235 is 1
GCD(814, 252, 75, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 252, 75, 235 is 1
GCD(814, 252, 75, 235) = 1
Given Input numbers are 814, 252, 75, 235
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 814, 252, 75, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 252, 75, 235 is 1.
Therefore, GCD of numbers 814, 252, 75, 235 is 1
Given Input Data is 814, 252, 75, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 235 is 5 x 47
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(814, 252) = 102564
GCD(814, 252) = ( 814 x 252 ) / 102564
GCD(814, 252) = 205128 / 102564
GCD(814, 252) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 814, 252, 75, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 252, 75, 235?
GCD of 814, 252, 75, 235 is 1
2. Where do I get the detailed procedure to find GCD of 814, 252, 75, 235?
You can find a detailed procedure to find GCD of 814, 252, 75, 235 on our page.
3. How to find GCD of 814, 252, 75, 235 on a calculator?
You can find the GCD of 814, 252, 75, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.