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, 510, 392, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 510, 392, 450 is 1
GCD(121, 510, 392, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 510, 392, 450 is 1
GCD(121, 510, 392, 450) = 1
Given Input numbers are 121, 510, 392, 450
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 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Greatest Common Divisior
We found the divisors of 121, 510, 392, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 510, 392, 450 is 1.
Therefore, GCD of numbers 121, 510, 392, 450 is 1
Given Input Data is 121, 510, 392, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 450 is 2 x 3 x 3 x 5 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(121, 510) = 61710
GCD(121, 510) = ( 121 x 510 ) / 61710
GCD(121, 510) = 61710 / 61710
GCD(121, 510) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 121, 510, 392, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 510, 392, 450?
GCD of 121, 510, 392, 450 is 1
2. Where do I get the detailed procedure to find GCD of 121, 510, 392, 450?
You can find a detailed procedure to find GCD of 121, 510, 392, 450 on our page.
3. How to find GCD of 121, 510, 392, 450 on a calculator?
You can find the GCD of 121, 510, 392, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.