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 120, 178, 63, 911 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 178, 63, 911 is 1
GCD(120, 178, 63, 911) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 178, 63, 911 is 1
GCD(120, 178, 63, 911) = 1
Given Input numbers are 120, 178, 63, 911
To find the GCD of numbers using factoring list out all the divisors of each number
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 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Greatest Common Divisior
We found the divisors of 120, 178, 63, 911 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 178, 63, 911 is 1.
Therefore, GCD of numbers 120, 178, 63, 911 is 1
Given Input Data is 120, 178, 63, 911
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 178 is 2 x 89
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 911 is 911
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(120, 178) = 10680
GCD(120, 178) = ( 120 x 178 ) / 10680
GCD(120, 178) = 21360 / 10680
GCD(120, 178) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 911
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 911) = 911
GCD(1, 911) = ( 1 x 911 ) / 911
GCD(1, 911) = 911 / 911
GCD(1, 911) = 1
GCD of 120, 178, 63, 911 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 178, 63, 911?
GCD of 120, 178, 63, 911 is 1
2. Where do I get the detailed procedure to find GCD of 120, 178, 63, 911?
You can find a detailed procedure to find GCD of 120, 178, 63, 911 on our page.
3. How to find GCD of 120, 178, 63, 911 on a calculator?
You can find the GCD of 120, 178, 63, 911 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.