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 176, 823, 273, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 823, 273, 700 is 1
GCD(176, 823, 273, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 823, 273, 700 is 1
GCD(176, 823, 273, 700) = 1
Given Input numbers are 176, 823, 273, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 176, 823, 273, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 823, 273, 700 is 1.
Therefore, GCD of numbers 176, 823, 273, 700 is 1
Given Input Data is 176, 823, 273, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 823 is 823
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(176, 823) = 144848
GCD(176, 823) = ( 176 x 823 ) / 144848
GCD(176, 823) = 144848 / 144848
GCD(176, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 176, 823, 273, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 823, 273, 700?
GCD of 176, 823, 273, 700 is 1
2. Where do I get the detailed procedure to find GCD of 176, 823, 273, 700?
You can find a detailed procedure to find GCD of 176, 823, 273, 700 on our page.
3. How to find GCD of 176, 823, 273, 700 on a calculator?
You can find the GCD of 176, 823, 273, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.