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, 870, 39, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 870, 39, 808 is 1
GCD(562, 870, 39, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 870, 39, 808 is 1
GCD(562, 870, 39, 808) = 1
Given Input numbers are 562, 870, 39, 808
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 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 562, 870, 39, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 870, 39, 808 is 1.
Therefore, GCD of numbers 562, 870, 39, 808 is 1
Given Input Data is 562, 870, 39, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 39 is 3 x 13
Prime Factorization of 808 is 2 x 2 x 2 x 101
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, 870) = 244470
GCD(562, 870) = ( 562 x 870 ) / 244470
GCD(562, 870) = 488940 / 244470
GCD(562, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 562, 870, 39, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 870, 39, 808?
GCD of 562, 870, 39, 808 is 1
2. Where do I get the detailed procedure to find GCD of 562, 870, 39, 808?
You can find a detailed procedure to find GCD of 562, 870, 39, 808 on our page.
3. How to find GCD of 562, 870, 39, 808 on a calculator?
You can find the GCD of 562, 870, 39, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.