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 198, 709, 56, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 709, 56, 885 is 1
GCD(198, 709, 56, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 709, 56, 885 is 1
GCD(198, 709, 56, 885) = 1
Given Input numbers are 198, 709, 56, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 198, 709, 56, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 709, 56, 885 is 1.
Therefore, GCD of numbers 198, 709, 56, 885 is 1
Given Input Data is 198, 709, 56, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 709 is 709
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 885 is 3 x 5 x 59
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(198, 709) = 140382
GCD(198, 709) = ( 198 x 709 ) / 140382
GCD(198, 709) = 140382 / 140382
GCD(198, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 198, 709, 56, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 709, 56, 885?
GCD of 198, 709, 56, 885 is 1
2. Where do I get the detailed procedure to find GCD of 198, 709, 56, 885?
You can find a detailed procedure to find GCD of 198, 709, 56, 885 on our page.
3. How to find GCD of 198, 709, 56, 885 on a calculator?
You can find the GCD of 198, 709, 56, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.