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 275, 900, 15, 910 i.e. 5 largest integer that divides all the numbers equally.
GCD of 275, 900, 15, 910 is 5
GCD(275, 900, 15, 910) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 900, 15, 910 is 5
GCD(275, 900, 15, 910) = 5
Given Input numbers are 275, 900, 15, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 275, 900, 15, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 900, 15, 910 is 5.
Therefore, GCD of numbers 275, 900, 15, 910 is 5
Given Input Data is 275, 900, 15, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 15 is 3 x 5
Prime Factorization of 910 is 2 x 5 x 7 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(275, 900) = 9900
GCD(275, 900) = ( 275 x 900 ) / 9900
GCD(275, 900) = 247500 / 9900
GCD(275, 900) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 15) = 75
GCD(25, 15) = ( 25 x 15 ) / 75
GCD(25, 15) = 375 / 75
GCD(25, 15) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 910) = 910
GCD(5, 910) = ( 5 x 910 ) / 910
GCD(5, 910) = 4550 / 910
GCD(5, 910) = 5
GCD of 275, 900, 15, 910 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 900, 15, 910?
GCD of 275, 900, 15, 910 is 5
2. Where do I get the detailed procedure to find GCD of 275, 900, 15, 910?
You can find a detailed procedure to find GCD of 275, 900, 15, 910 on our page.
3. How to find GCD of 275, 900, 15, 910 on a calculator?
You can find the GCD of 275, 900, 15, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.