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 121, 667, 360, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 667, 360, 457 is 1
GCD(121, 667, 360, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 667, 360, 457 is 1
GCD(121, 667, 360, 457) = 1
Given Input numbers are 121, 667, 360, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 121, 667, 360, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 667, 360, 457 is 1.
Therefore, GCD of numbers 121, 667, 360, 457 is 1
Given Input Data is 121, 667, 360, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 667 is 23 x 29
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 457 is 457
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(121, 667) = 80707
GCD(121, 667) = ( 121 x 667 ) / 80707
GCD(121, 667) = 80707 / 80707
GCD(121, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 121, 667, 360, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 667, 360, 457?
GCD of 121, 667, 360, 457 is 1
2. Where do I get the detailed procedure to find GCD of 121, 667, 360, 457?
You can find a detailed procedure to find GCD of 121, 667, 360, 457 on our page.
3. How to find GCD of 121, 667, 360, 457 on a calculator?
You can find the GCD of 121, 667, 360, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.