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 841, 176, 120, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 841, 176, 120, 452 is 1
GCD(841, 176, 120, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 841, 176, 120, 452 is 1
GCD(841, 176, 120, 452) = 1
Given Input numbers are 841, 176, 120, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
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 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
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 841, 176, 120, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 176, 120, 452 is 1.
Therefore, GCD of numbers 841, 176, 120, 452 is 1
Given Input Data is 841, 176, 120, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 841 is 29 x 29
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 452 is 2 x 2 x 113
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(841, 176) = 148016
GCD(841, 176) = ( 841 x 176 ) / 148016
GCD(841, 176) = 148016 / 148016
GCD(841, 176) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 841, 176, 120, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 841, 176, 120, 452?
GCD of 841, 176, 120, 452 is 1
2. Where do I get the detailed procedure to find GCD of 841, 176, 120, 452?
You can find a detailed procedure to find GCD of 841, 176, 120, 452 on our page.
3. How to find GCD of 841, 176, 120, 452 on a calculator?
You can find the GCD of 841, 176, 120, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.