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 83, 496, 561, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 496, 561, 527 is 1
GCD(83, 496, 561, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 496, 561, 527 is 1
GCD(83, 496, 561, 527) = 1
Given Input numbers are 83, 496, 561, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 83, 496, 561, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 496, 561, 527 is 1.
Therefore, GCD of numbers 83, 496, 561, 527 is 1
Given Input Data is 83, 496, 561, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 527 is 17 x 31
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(83, 496) = 41168
GCD(83, 496) = ( 83 x 496 ) / 41168
GCD(83, 496) = 41168 / 41168
GCD(83, 496) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
GCD of 83, 496, 561, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 496, 561, 527?
GCD of 83, 496, 561, 527 is 1
2. Where do I get the detailed procedure to find GCD of 83, 496, 561, 527?
You can find a detailed procedure to find GCD of 83, 496, 561, 527 on our page.
3. How to find GCD of 83, 496, 561, 527 on a calculator?
You can find the GCD of 83, 496, 561, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.