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 608, 870, 871, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 608, 870, 871, 684 is 1
GCD(608, 870, 871, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 608, 870, 871, 684 is 1
GCD(608, 870, 871, 684) = 1
Given Input numbers are 608, 870, 871, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 608, 870, 871, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 870, 871, 684 is 1.
Therefore, GCD of numbers 608, 870, 871, 684 is 1
Given Input Data is 608, 870, 871, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 871 is 13 x 67
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(608, 870) = 264480
GCD(608, 870) = ( 608 x 870 ) / 264480
GCD(608, 870) = 528960 / 264480
GCD(608, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
GCD(2, 871) = 1742 / 1742
GCD(2, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 608, 870, 871, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 608, 870, 871, 684?
GCD of 608, 870, 871, 684 is 1
2. Where do I get the detailed procedure to find GCD of 608, 870, 871, 684?
You can find a detailed procedure to find GCD of 608, 870, 871, 684 on our page.
3. How to find GCD of 608, 870, 871, 684 on a calculator?
You can find the GCD of 608, 870, 871, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.