GCD of 414, 434, 771 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 414, 434, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 434, 771 is 1
GCD(414, 434, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 434, 771 is 1
GCD(414, 434, 771) = 1
GCDof 414,434,771 is 1
Given Input numbers are 414, 434, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 414, 434, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 434, 771 is 1.
Therefore, GCD of numbers 414, 434, 771 is 1
Given Input Data is 414, 434, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 771 is 3 x 257
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 414, 434, 771 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(414, 434) = 89838
GCD(414, 434) = ( 414 x 434 ) / 89838
GCD(414, 434) = 179676 / 89838
GCD(414, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 771) = 1542
GCD(2, 771) = ( 2 x 771 ) / 1542
GCD(2, 771) = 1542 / 1542
GCD(2, 771) = 1
GCD of 414, 434, 771 is 1
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FAQs on GCD of numbers 414, 434, 771
1. What is the GCD of 414, 434, 771?
GCD of 414, 434, 771 is 1
2. Where do I get the detailed procedure to find GCD of 414, 434, 771?
You can find a detailed procedure to find GCD of 414, 434, 771 on our page.
3. How to find GCD of 414, 434, 771 on a calculator?
You can find the GCD of 414, 434, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.