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 25, 435, 876, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 435, 876, 270 is 1
GCD(25, 435, 876, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 435, 876, 270 is 1
GCD(25, 435, 876, 270) = 1
Given Input numbers are 25, 435, 876, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 25, 435, 876, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 435, 876, 270 is 1.
Therefore, GCD of numbers 25, 435, 876, 270 is 1
Given Input Data is 25, 435, 876, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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(25, 435) = 2175
GCD(25, 435) = ( 25 x 435 ) / 2175
GCD(25, 435) = 10875 / 2175
GCD(25, 435) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 876) = 4380
GCD(5, 876) = ( 5 x 876 ) / 4380
GCD(5, 876) = 4380 / 4380
GCD(5, 876) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 25, 435, 876, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 435, 876, 270?
GCD of 25, 435, 876, 270 is 1
2. Where do I get the detailed procedure to find GCD of 25, 435, 876, 270?
You can find a detailed procedure to find GCD of 25, 435, 876, 270 on our page.
3. How to find GCD of 25, 435, 876, 270 on a calculator?
You can find the GCD of 25, 435, 876, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.