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 676, 256, 32, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 256, 32, 495 is 1
GCD(676, 256, 32, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 256, 32, 495 is 1
GCD(676, 256, 32, 495) = 1
Given Input numbers are 676, 256, 32, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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 676, 256, 32, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 256, 32, 495 is 1.
Therefore, GCD of numbers 676, 256, 32, 495 is 1
Given Input Data is 676, 256, 32, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
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(676, 256) = 43264
GCD(676, 256) = ( 676 x 256 ) / 43264
GCD(676, 256) = 173056 / 43264
GCD(676, 256) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 32) = 32
GCD(4, 32) = ( 4 x 32 ) / 32
GCD(4, 32) = 128 / 32
GCD(4, 32) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 495) = 1980
GCD(4, 495) = ( 4 x 495 ) / 1980
GCD(4, 495) = 1980 / 1980
GCD(4, 495) = 1
GCD of 676, 256, 32, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 256, 32, 495?
GCD of 676, 256, 32, 495 is 1
2. Where do I get the detailed procedure to find GCD of 676, 256, 32, 495?
You can find a detailed procedure to find GCD of 676, 256, 32, 495 on our page.
3. How to find GCD of 676, 256, 32, 495 on a calculator?
You can find the GCD of 676, 256, 32, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.