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 870, 910, 28, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 910, 28, 427 is 1
GCD(870, 910, 28, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 910, 28, 427 is 1
GCD(870, 910, 28, 427) = 1
Given Input numbers are 870, 910, 28, 427
To find the GCD of numbers using factoring list out all the divisors of each number
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 870, 910, 28, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 910, 28, 427 is 1.
Therefore, GCD of numbers 870, 910, 28, 427 is 1
Given Input Data is 870, 910, 28, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 427 is 7 x 61
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(870, 910) = 79170
GCD(870, 910) = ( 870 x 910 ) / 79170
GCD(870, 910) = 791700 / 79170
GCD(870, 910) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 28) = 140
GCD(10, 28) = ( 10 x 28 ) / 140
GCD(10, 28) = 280 / 140
GCD(10, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 427) = 854
GCD(2, 427) = ( 2 x 427 ) / 854
GCD(2, 427) = 854 / 854
GCD(2, 427) = 1
GCD of 870, 910, 28, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 910, 28, 427?
GCD of 870, 910, 28, 427 is 1
2. Where do I get the detailed procedure to find GCD of 870, 910, 28, 427?
You can find a detailed procedure to find GCD of 870, 910, 28, 427 on our page.
3. How to find GCD of 870, 910, 28, 427 on a calculator?
You can find the GCD of 870, 910, 28, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.