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, 860, 425, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 860, 425, 302 is 1
GCD(870, 860, 425, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 860, 425, 302 is 1
GCD(870, 860, 425, 302) = 1
Given Input numbers are 870, 860, 425, 302
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 870, 860, 425, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 860, 425, 302 is 1.
Therefore, GCD of numbers 870, 860, 425, 302 is 1
Given Input Data is 870, 860, 425, 302
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 860 is 2 x 2 x 5 x 43
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 302 is 2 x 151
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, 860) = 74820
GCD(870, 860) = ( 870 x 860 ) / 74820
GCD(870, 860) = 748200 / 74820
GCD(870, 860) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 425) = 850
GCD(10, 425) = ( 10 x 425 ) / 850
GCD(10, 425) = 4250 / 850
GCD(10, 425) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 302) = 1510
GCD(5, 302) = ( 5 x 302 ) / 1510
GCD(5, 302) = 1510 / 1510
GCD(5, 302) = 1
GCD of 870, 860, 425, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 860, 425, 302?
GCD of 870, 860, 425, 302 is 1
2. Where do I get the detailed procedure to find GCD of 870, 860, 425, 302?
You can find a detailed procedure to find GCD of 870, 860, 425, 302 on our page.
3. How to find GCD of 870, 860, 425, 302 on a calculator?
You can find the GCD of 870, 860, 425, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.