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 364, 128, 267, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 128, 267, 495 is 1
GCD(364, 128, 267, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 128, 267, 495 is 1
GCD(364, 128, 267, 495) = 1
Given Input numbers are 364, 128, 267, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 364, 128, 267, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 128, 267, 495 is 1.
Therefore, GCD of numbers 364, 128, 267, 495 is 1
Given Input Data is 364, 128, 267, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 267 is 3 x 89
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(364, 128) = 11648
GCD(364, 128) = ( 364 x 128 ) / 11648
GCD(364, 128) = 46592 / 11648
GCD(364, 128) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 267) = 1068
GCD(4, 267) = ( 4 x 267 ) / 1068
GCD(4, 267) = 1068 / 1068
GCD(4, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 364, 128, 267, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 128, 267, 495?
GCD of 364, 128, 267, 495 is 1
2. Where do I get the detailed procedure to find GCD of 364, 128, 267, 495?
You can find a detailed procedure to find GCD of 364, 128, 267, 495 on our page.
3. How to find GCD of 364, 128, 267, 495 on a calculator?
You can find the GCD of 364, 128, 267, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.