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 840, 463, 814, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 463, 814, 558 is 1
GCD(840, 463, 814, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 463, 814, 558 is 1
GCD(840, 463, 814, 558) = 1
Given Input numbers are 840, 463, 814, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 840, 463, 814, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 463, 814, 558 is 1.
Therefore, GCD of numbers 840, 463, 814, 558 is 1
Given Input Data is 840, 463, 814, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 463 is 463
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 558 is 2 x 3 x 3 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(840, 463) = 388920
GCD(840, 463) = ( 840 x 463 ) / 388920
GCD(840, 463) = 388920 / 388920
GCD(840, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 840, 463, 814, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 463, 814, 558?
GCD of 840, 463, 814, 558 is 1
2. Where do I get the detailed procedure to find GCD of 840, 463, 814, 558?
You can find a detailed procedure to find GCD of 840, 463, 814, 558 on our page.
3. How to find GCD of 840, 463, 814, 558 on a calculator?
You can find the GCD of 840, 463, 814, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.