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 860, 986, 615, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 860, 986, 615, 820 is 1
GCD(860, 986, 615, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 986, 615, 820 is 1
GCD(860, 986, 615, 820) = 1
Given Input numbers are 860, 986, 615, 820
To find the GCD of numbers using factoring list out all the divisors of each number
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 860, 986, 615, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 986, 615, 820 is 1.
Therefore, GCD of numbers 860, 986, 615, 820 is 1
Given Input Data is 860, 986, 615, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(860, 986) = 423980
GCD(860, 986) = ( 860 x 986 ) / 423980
GCD(860, 986) = 847960 / 423980
GCD(860, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 615) = 1230
GCD(2, 615) = ( 2 x 615 ) / 1230
GCD(2, 615) = 1230 / 1230
GCD(2, 615) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 860, 986, 615, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 986, 615, 820?
GCD of 860, 986, 615, 820 is 1
2. Where do I get the detailed procedure to find GCD of 860, 986, 615, 820?
You can find a detailed procedure to find GCD of 860, 986, 615, 820 on our page.
3. How to find GCD of 860, 986, 615, 820 on a calculator?
You can find the GCD of 860, 986, 615, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.