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 914, 975, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 975, 276 is 1
GCD(914, 975, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 975, 276 is 1
GCD(914, 975, 276) = 1
Given Input numbers are 914, 975, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 914, 975, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 975, 276 is 1.
Therefore, GCD of numbers 914, 975, 276 is 1
Given Input Data is 914, 975, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 276 is 2 x 2 x 3 x 23
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(914, 975) = 891150
GCD(914, 975) = ( 914 x 975 ) / 891150
GCD(914, 975) = 891150 / 891150
GCD(914, 975) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 914, 975, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 975, 276?
GCD of 914, 975, 276 is 1
2. Where do I get the detailed procedure to find GCD of 914, 975, 276?
You can find a detailed procedure to find GCD of 914, 975, 276 on our page.
3. How to find GCD of 914, 975, 276 on a calculator?
You can find the GCD of 914, 975, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.