GCD of 872, 126, 305 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 872, 126, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 126, 305 is 1
GCD(872, 126, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 126, 305 is 1
GCD(872, 126, 305) = 1
GCDof 872,126,305 is 1
Given Input numbers are 872, 126, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 872, 126, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 126, 305 is 1.
Therefore, GCD of numbers 872, 126, 305 is 1
Given Input Data is 872, 126, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 305 is 5 x 61
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 872, 126, 305 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(872, 126) = 54936
GCD(872, 126) = ( 872 x 126 ) / 54936
GCD(872, 126) = 109872 / 54936
GCD(872, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 305) = 610
GCD(2, 305) = ( 2 x 305 ) / 610
GCD(2, 305) = 610 / 610
GCD(2, 305) = 1
GCD of 872, 126, 305 is 1
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FAQs on GCD of numbers 872, 126, 305
1. What is the GCD of 872, 126, 305?
GCD of 872, 126, 305 is 1
2. Where do I get the detailed procedure to find GCD of 872, 126, 305?
You can find a detailed procedure to find GCD of 872, 126, 305 on our page.
3. How to find GCD of 872, 126, 305 on a calculator?
You can find the GCD of 872, 126, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.