GCD of 914, 524, 123 Calculator
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, 524, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 524, 123 is 1
GCD(914, 524, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 524, 123 is 1
GCD(914, 524, 123) = 1
GCDof 914,524,123 is 1
Given Input numbers are 914, 524, 123
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 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 914, 524, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 524, 123 is 1.
Therefore, GCD of numbers 914, 524, 123 is 1
Given Input Data is 914, 524, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 123 is 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 914, 524, 123 using LCM Formula
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, 524) = 239468
GCD(914, 524) = ( 914 x 524 ) / 239468
GCD(914, 524) = 478936 / 239468
GCD(914, 524) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
GCD(2, 123) = 246 / 246
GCD(2, 123) = 1
GCD of 914, 524, 123 is 1
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FAQs on GCD of numbers 914, 524, 123
1. What is the GCD of 914, 524, 123?
GCD of 914, 524, 123 is 1
2. Where do I get the detailed procedure to find GCD of 914, 524, 123?
You can find a detailed procedure to find GCD of 914, 524, 123 on our page.
3. How to find GCD of 914, 524, 123 on a calculator?
You can find the GCD of 914, 524, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.