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 429, 681, 31, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 681, 31, 666 is 1
GCD(429, 681, 31, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 681, 31, 666 is 1
GCD(429, 681, 31, 666) = 1
Given Input numbers are 429, 681, 31, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 429, 681, 31, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 681, 31, 666 is 1.
Therefore, GCD of numbers 429, 681, 31, 666 is 1
Given Input Data is 429, 681, 31, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 681 is 3 x 227
Prime Factorization of 31 is 31
Prime Factorization of 666 is 2 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
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(429, 681) = 97383
GCD(429, 681) = ( 429 x 681 ) / 97383
GCD(429, 681) = 292149 / 97383
GCD(429, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 31) = 93
GCD(3, 31) = ( 3 x 31 ) / 93
GCD(3, 31) = 93 / 93
GCD(3, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 429, 681, 31, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 681, 31, 666?
GCD of 429, 681, 31, 666 is 1
2. Where do I get the detailed procedure to find GCD of 429, 681, 31, 666?
You can find a detailed procedure to find GCD of 429, 681, 31, 666 on our page.
3. How to find GCD of 429, 681, 31, 666 on a calculator?
You can find the GCD of 429, 681, 31, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.