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, 843, 495, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 843, 495, 120 is 1
GCD(176, 843, 495, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 843, 495, 120 is 1
GCD(176, 843, 495, 120) = 1
Given Input numbers are 176, 843, 495, 120
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 176, 843, 495, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 843, 495, 120 is 1.
Therefore, GCD of numbers 176, 843, 495, 120 is 1
Given Input Data is 176, 843, 495, 120
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 843 is 3 x 281
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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, 843) = 148368
GCD(176, 843) = ( 176 x 843 ) / 148368
GCD(176, 843) = 148368 / 148368
GCD(176, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 176, 843, 495, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 843, 495, 120?
GCD of 176, 843, 495, 120 is 1
2. Where do I get the detailed procedure to find GCD of 176, 843, 495, 120?
You can find a detailed procedure to find GCD of 176, 843, 495, 120 on our page.
3. How to find GCD of 176, 843, 495, 120 on a calculator?
You can find the GCD of 176, 843, 495, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.