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 110, 659, 96, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 659, 96, 533 is 1
GCD(110, 659, 96, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 659, 96, 533 is 1
GCD(110, 659, 96, 533) = 1
Given Input numbers are 110, 659, 96, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 110, 659, 96, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 659, 96, 533 is 1.
Therefore, GCD of numbers 110, 659, 96, 533 is 1
Given Input Data is 110, 659, 96, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 659 is 659
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 533 is 13 x 41
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(110, 659) = 72490
GCD(110, 659) = ( 110 x 659 ) / 72490
GCD(110, 659) = 72490 / 72490
GCD(110, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 110, 659, 96, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 659, 96, 533?
GCD of 110, 659, 96, 533 is 1
2. Where do I get the detailed procedure to find GCD of 110, 659, 96, 533?
You can find a detailed procedure to find GCD of 110, 659, 96, 533 on our page.
3. How to find GCD of 110, 659, 96, 533 on a calculator?
You can find the GCD of 110, 659, 96, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.