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, 525, 59, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 525, 59, 335 is 1
GCD(814, 525, 59, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 525, 59, 335 is 1
GCD(814, 525, 59, 335) = 1
Given Input numbers are 814, 525, 59, 335
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 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 814, 525, 59, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 525, 59, 335 is 1.
Therefore, GCD of numbers 814, 525, 59, 335 is 1
Given Input Data is 814, 525, 59, 335
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 525 is 3 x 5 x 5 x 7
Prime Factorization of 59 is 59
Prime Factorization of 335 is 5 x 67
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, 525) = 427350
GCD(814, 525) = ( 814 x 525 ) / 427350
GCD(814, 525) = 427350 / 427350
GCD(814, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 814, 525, 59, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 525, 59, 335?
GCD of 814, 525, 59, 335 is 1
2. Where do I get the detailed procedure to find GCD of 814, 525, 59, 335?
You can find a detailed procedure to find GCD of 814, 525, 59, 335 on our page.
3. How to find GCD of 814, 525, 59, 335 on a calculator?
You can find the GCD of 814, 525, 59, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.