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 723, 853, 83, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 853, 83, 151 is 1
GCD(723, 853, 83, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 853, 83, 151 is 1
GCD(723, 853, 83, 151) = 1
Given Input numbers are 723, 853, 83, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 723, 853, 83, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 853, 83, 151 is 1.
Therefore, GCD of numbers 723, 853, 83, 151 is 1
Given Input Data is 723, 853, 83, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 853 is 853
Prime Factorization of 83 is 83
Prime Factorization of 151 is 151
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(723, 853) = 616719
GCD(723, 853) = ( 723 x 853 ) / 616719
GCD(723, 853) = 616719 / 616719
GCD(723, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 723, 853, 83, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 853, 83, 151?
GCD of 723, 853, 83, 151 is 1
2. Where do I get the detailed procedure to find GCD of 723, 853, 83, 151?
You can find a detailed procedure to find GCD of 723, 853, 83, 151 on our page.
3. How to find GCD of 723, 853, 83, 151 on a calculator?
You can find the GCD of 723, 853, 83, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.