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 620, 217, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 217, 870 is 1
GCD(620, 217, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 217, 870 is 1
GCD(620, 217, 870) = 1
Given Input numbers are 620, 217, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
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
Greatest Common Divisior
We found the divisors of 620, 217, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 217, 870 is 1.
Therefore, GCD of numbers 620, 217, 870 is 1
Given Input Data is 620, 217, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 217 is 7 x 31
Prime Factorization of 870 is 2 x 3 x 5 x 29
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(620, 217) = 4340
GCD(620, 217) = ( 620 x 217 ) / 4340
GCD(620, 217) = 134540 / 4340
GCD(620, 217) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 870) = 26970
GCD(31, 870) = ( 31 x 870 ) / 26970
GCD(31, 870) = 26970 / 26970
GCD(31, 870) = 1
GCD of 620, 217, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 217, 870?
GCD of 620, 217, 870 is 1
2. Where do I get the detailed procedure to find GCD of 620, 217, 870?
You can find a detailed procedure to find GCD of 620, 217, 870 on our page.
3. How to find GCD of 620, 217, 870 on a calculator?
You can find the GCD of 620, 217, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.