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 876, 525, 52, 890 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 525, 52, 890 is 1
GCD(876, 525, 52, 890) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 525, 52, 890 is 1
GCD(876, 525, 52, 890) = 1
Given Input numbers are 876, 525, 52, 890
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 876, 525, 52, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 525, 52, 890 is 1.
Therefore, GCD of numbers 876, 525, 52, 890 is 1
Given Input Data is 876, 525, 52, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 890 is 2 x 5 x 89
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(876, 525) = 153300
GCD(876, 525) = ( 876 x 525 ) / 153300
GCD(876, 525) = 459900 / 153300
GCD(876, 525) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 52) = 156
GCD(3, 52) = ( 3 x 52 ) / 156
GCD(3, 52) = 156 / 156
GCD(3, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
GCD of 876, 525, 52, 890 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 525, 52, 890?
GCD of 876, 525, 52, 890 is 1
2. Where do I get the detailed procedure to find GCD of 876, 525, 52, 890?
You can find a detailed procedure to find GCD of 876, 525, 52, 890 on our page.
3. How to find GCD of 876, 525, 52, 890 on a calculator?
You can find the GCD of 876, 525, 52, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.