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 955, 746, 909, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 955, 746, 909, 120 is 1
GCD(955, 746, 909, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 955, 746, 909, 120 is 1
GCD(955, 746, 909, 120) = 1
Given Input numbers are 955, 746, 909, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
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 955, 746, 909, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 955, 746, 909, 120 is 1.
Therefore, GCD of numbers 955, 746, 909, 120 is 1
Given Input Data is 955, 746, 909, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 955 is 5 x 191
Prime Factorization of 746 is 2 x 373
Prime Factorization of 909 is 3 x 3 x 101
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(955, 746) = 712430
GCD(955, 746) = ( 955 x 746 ) / 712430
GCD(955, 746) = 712430 / 712430
GCD(955, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 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 955, 746, 909, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 955, 746, 909, 120?
GCD of 955, 746, 909, 120 is 1
2. Where do I get the detailed procedure to find GCD of 955, 746, 909, 120?
You can find a detailed procedure to find GCD of 955, 746, 909, 120 on our page.
3. How to find GCD of 955, 746, 909, 120 on a calculator?
You can find the GCD of 955, 746, 909, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.