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 562, 660, 86, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 660, 86, 999 is 1
GCD(562, 660, 86, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 660, 86, 999 is 1
GCD(562, 660, 86, 999) = 1
Given Input numbers are 562, 660, 86, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 562, 660, 86, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 660, 86, 999 is 1.
Therefore, GCD of numbers 562, 660, 86, 999 is 1
Given Input Data is 562, 660, 86, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 86 is 2 x 43
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(562, 660) = 185460
GCD(562, 660) = ( 562 x 660 ) / 185460
GCD(562, 660) = 370920 / 185460
GCD(562, 660) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 999) = 1998
GCD(2, 999) = ( 2 x 999 ) / 1998
GCD(2, 999) = 1998 / 1998
GCD(2, 999) = 1
GCD of 562, 660, 86, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 660, 86, 999?
GCD of 562, 660, 86, 999 is 1
2. Where do I get the detailed procedure to find GCD of 562, 660, 86, 999?
You can find a detailed procedure to find GCD of 562, 660, 86, 999 on our page.
3. How to find GCD of 562, 660, 86, 999 on a calculator?
You can find the GCD of 562, 660, 86, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.