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 29, 210, 992, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 210, 992, 714 is 1
GCD(29, 210, 992, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 210, 992, 714 is 1
GCD(29, 210, 992, 714) = 1
Given Input numbers are 29, 210, 992, 714
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 29, 210, 992, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 210, 992, 714 is 1.
Therefore, GCD of numbers 29, 210, 992, 714 is 1
Given Input Data is 29, 210, 992, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 714 is 2 x 3 x 7 x 17
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(29, 210) = 6090
GCD(29, 210) = ( 29 x 210 ) / 6090
GCD(29, 210) = 6090 / 6090
GCD(29, 210) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 29, 210, 992, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 210, 992, 714?
GCD of 29, 210, 992, 714 is 1
2. Where do I get the detailed procedure to find GCD of 29, 210, 992, 714?
You can find a detailed procedure to find GCD of 29, 210, 992, 714 on our page.
3. How to find GCD of 29, 210, 992, 714 on a calculator?
You can find the GCD of 29, 210, 992, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.