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 525, 837, 815, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 837, 815, 117 is 1
GCD(525, 837, 815, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 837, 815, 117 is 1
GCD(525, 837, 815, 117) = 1
Given Input numbers are 525, 837, 815, 117
To find the GCD of numbers using factoring list out all the divisors of each number
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 525, 837, 815, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 837, 815, 117 is 1.
Therefore, GCD of numbers 525, 837, 815, 117 is 1
Given Input Data is 525, 837, 815, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 815 is 5 x 163
Prime Factorization of 117 is 3 x 3 x 13
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(525, 837) = 146475
GCD(525, 837) = ( 525 x 837 ) / 146475
GCD(525, 837) = 439425 / 146475
GCD(525, 837) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 815) = 2445
GCD(3, 815) = ( 3 x 815 ) / 2445
GCD(3, 815) = 2445 / 2445
GCD(3, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 525, 837, 815, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 837, 815, 117?
GCD of 525, 837, 815, 117 is 1
2. Where do I get the detailed procedure to find GCD of 525, 837, 815, 117?
You can find a detailed procedure to find GCD of 525, 837, 815, 117 on our page.
3. How to find GCD of 525, 837, 815, 117 on a calculator?
You can find the GCD of 525, 837, 815, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.