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 496, 984, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 984, 655 is 1
GCD(496, 984, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 984, 655 is 1
GCD(496, 984, 655) = 1
Given Input numbers are 496, 984, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 496, 984, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 984, 655 is 1.
Therefore, GCD of numbers 496, 984, 655 is 1
Given Input Data is 496, 984, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 655 is 5 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(496, 984) = 61008
GCD(496, 984) = ( 496 x 984 ) / 61008
GCD(496, 984) = 488064 / 61008
GCD(496, 984) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 655) = 5240
GCD(8, 655) = ( 8 x 655 ) / 5240
GCD(8, 655) = 5240 / 5240
GCD(8, 655) = 1
GCD of 496, 984, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 984, 655?
GCD of 496, 984, 655 is 1
2. Where do I get the detailed procedure to find GCD of 496, 984, 655?
You can find a detailed procedure to find GCD of 496, 984, 655 on our page.
3. How to find GCD of 496, 984, 655 on a calculator?
You can find the GCD of 496, 984, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.