GCD of 461, 956, 66 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 461, 956, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 956, 66 is 1
GCD(461, 956, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 956, 66 is 1
GCD(461, 956, 66) = 1
GCDof 461,956,66 is 1
Given Input numbers are 461, 956, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 461, 956, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 956, 66 is 1.
Therefore, GCD of numbers 461, 956, 66 is 1
Given Input Data is 461, 956, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 461, 956, 66 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(461, 956) = 440716
GCD(461, 956) = ( 461 x 956 ) / 440716
GCD(461, 956) = 440716 / 440716
GCD(461, 956) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 461, 956, 66 is 1
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FAQs on GCD of numbers 461, 956, 66
1. What is the GCD of 461, 956, 66?
GCD of 461, 956, 66 is 1
2. Where do I get the detailed procedure to find GCD of 461, 956, 66?
You can find a detailed procedure to find GCD of 461, 956, 66 on our page.
3. How to find GCD of 461, 956, 66 on a calculator?
You can find the GCD of 461, 956, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
