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, 771, 17, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 929, 771, 17, 702 is 1
GCD(929, 771, 17, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 929, 771, 17, 702 is 1
GCD(929, 771, 17, 702) = 1
Given Input numbers are 929, 771, 17, 702
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 929, 771, 17, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 771, 17, 702 is 1.
Therefore, GCD of numbers 929, 771, 17, 702 is 1
Given Input Data is 929, 771, 17, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 929 is 929
Prime Factorization of 771 is 3 x 257
Prime Factorization of 17 is 17
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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, 771) = 716259
GCD(929, 771) = ( 929 x 771 ) / 716259
GCD(929, 771) = 716259 / 716259
GCD(929, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 929, 771, 17, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 929, 771, 17, 702?
GCD of 929, 771, 17, 702 is 1
2. Where do I get the detailed procedure to find GCD of 929, 771, 17, 702?
You can find a detailed procedure to find GCD of 929, 771, 17, 702 on our page.
3. How to find GCD of 929, 771, 17, 702 on a calculator?
You can find the GCD of 929, 771, 17, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.