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 561, 642, 798, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 561, 642, 798, 662 is 1
GCD(561, 642, 798, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 561, 642, 798, 662 is 1
GCD(561, 642, 798, 662) = 1
Given Input numbers are 561, 642, 798, 662
To find the GCD of numbers using factoring list out all the divisors of each number
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 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 561, 642, 798, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 642, 798, 662 is 1.
Therefore, GCD of numbers 561, 642, 798, 662 is 1
Given Input Data is 561, 642, 798, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 662 is 2 x 331
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(561, 642) = 120054
GCD(561, 642) = ( 561 x 642 ) / 120054
GCD(561, 642) = 360162 / 120054
GCD(561, 642) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
GCD(3, 798) = 2394 / 798
GCD(3, 798) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 662) = 1986
GCD(3, 662) = ( 3 x 662 ) / 1986
GCD(3, 662) = 1986 / 1986
GCD(3, 662) = 1
GCD of 561, 642, 798, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 561, 642, 798, 662?
GCD of 561, 642, 798, 662 is 1
2. Where do I get the detailed procedure to find GCD of 561, 642, 798, 662?
You can find a detailed procedure to find GCD of 561, 642, 798, 662 on our page.
3. How to find GCD of 561, 642, 798, 662 on a calculator?
You can find the GCD of 561, 642, 798, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.