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, 468, 45, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 127, 468, 45, 262 is 1
GCD(127, 468, 45, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 127, 468, 45, 262 is 1
GCD(127, 468, 45, 262) = 1
Given Input numbers are 127, 468, 45, 262
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 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 127, 468, 45, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 468, 45, 262 is 1.
Therefore, GCD of numbers 127, 468, 45, 262 is 1
Given Input Data is 127, 468, 45, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 127 is 127
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 262 is 2 x 131
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, 468) = 59436
GCD(127, 468) = ( 127 x 468 ) / 59436
GCD(127, 468) = 59436 / 59436
GCD(127, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 127, 468, 45, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 127, 468, 45, 262?
GCD of 127, 468, 45, 262 is 1
2. Where do I get the detailed procedure to find GCD of 127, 468, 45, 262?
You can find a detailed procedure to find GCD of 127, 468, 45, 262 on our page.
3. How to find GCD of 127, 468, 45, 262 on a calculator?
You can find the GCD of 127, 468, 45, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.