GCD of 961, 434, 312 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 961, 434, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 434, 312 is 1
GCD(961, 434, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 434, 312 is 1
GCD(961, 434, 312) = 1
GCDof 961,434,312 is 1
Given Input numbers are 961, 434, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 961, 434, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 434, 312 is 1.
Therefore, GCD of numbers 961, 434, 312 is 1
Given Input Data is 961, 434, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 961, 434, 312 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(961, 434) = 13454
GCD(961, 434) = ( 961 x 434 ) / 13454
GCD(961, 434) = 417074 / 13454
GCD(961, 434) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 312) = 9672
GCD(31, 312) = ( 31 x 312 ) / 9672
GCD(31, 312) = 9672 / 9672
GCD(31, 312) = 1
GCD of 961, 434, 312 is 1
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FAQs on GCD of numbers 961, 434, 312
1. What is the GCD of 961, 434, 312?
GCD of 961, 434, 312 is 1
2. Where do I get the detailed procedure to find GCD of 961, 434, 312?
You can find a detailed procedure to find GCD of 961, 434, 312 on our page.
3. How to find GCD of 961, 434, 312 on a calculator?
You can find the GCD of 961, 434, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
