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 929, 289, 407, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 289, 407, 716 is 1
GCD(929, 289, 407, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 289, 407, 716 is 1
GCD(929, 289, 407, 716) = 1
Given Input numbers are 929, 289, 407, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 929, 289, 407, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 289, 407, 716 is 1.
Therefore, GCD of numbers 929, 289, 407, 716 is 1
Given Input Data is 929, 289, 407, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 289 is 17 x 17
Prime Factorization of 407 is 11 x 37
Prime Factorization of 716 is 2 x 2 x 179
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(929, 289) = 268481
GCD(929, 289) = ( 929 x 289 ) / 268481
GCD(929, 289) = 268481 / 268481
GCD(929, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 929, 289, 407, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 289, 407, 716?
GCD of 929, 289, 407, 716 is 1
2. Where do I get the detailed procedure to find GCD of 929, 289, 407, 716?
You can find a detailed procedure to find GCD of 929, 289, 407, 716 on our page.
3. How to find GCD of 929, 289, 407, 716 on a calculator?
You can find the GCD of 929, 289, 407, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.