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 767, 922, 167, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 922, 167, 728 is 1
GCD(767, 922, 167, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 922, 167, 728 is 1
GCD(767, 922, 167, 728) = 1
Given Input numbers are 767, 922, 167, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 767, 922, 167, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 922, 167, 728 is 1.
Therefore, GCD of numbers 767, 922, 167, 728 is 1
Given Input Data is 767, 922, 167, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 922 is 2 x 461
Prime Factorization of 167 is 167
Prime Factorization of 728 is 2 x 2 x 2 x 7 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(767, 922) = 707174
GCD(767, 922) = ( 767 x 922 ) / 707174
GCD(767, 922) = 707174 / 707174
GCD(767, 922) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 767, 922, 167, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 922, 167, 728?
GCD of 767, 922, 167, 728 is 1
2. Where do I get the detailed procedure to find GCD of 767, 922, 167, 728?
You can find a detailed procedure to find GCD of 767, 922, 167, 728 on our page.
3. How to find GCD of 767, 922, 167, 728 on a calculator?
You can find the GCD of 767, 922, 167, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.