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 127, 456, 369, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 127, 456, 369, 130 is 1
GCD(127, 456, 369, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 127, 456, 369, 130 is 1
GCD(127, 456, 369, 130) = 1
Given Input numbers are 127, 456, 369, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 127, 456, 369, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 456, 369, 130 is 1.
Therefore, GCD of numbers 127, 456, 369, 130 is 1
Given Input Data is 127, 456, 369, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 127 is 127
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 130 is 2 x 5 x 13
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(127, 456) = 57912
GCD(127, 456) = ( 127 x 456 ) / 57912
GCD(127, 456) = 57912 / 57912
GCD(127, 456) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 127, 456, 369, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 127, 456, 369, 130?
GCD of 127, 456, 369, 130 is 1
2. Where do I get the detailed procedure to find GCD of 127, 456, 369, 130?
You can find a detailed procedure to find GCD of 127, 456, 369, 130 on our page.
3. How to find GCD of 127, 456, 369, 130 on a calculator?
You can find the GCD of 127, 456, 369, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.