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, 874, 520 i.e. 2 largest integer that divides all the numbers equally.
GCD of 860, 874, 520 is 2
GCD(860, 874, 520) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 874, 520 is 2
GCD(860, 874, 520) = 2
Given Input numbers are 860, 874, 520
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 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 860, 874, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 874, 520 is 2.
Therefore, GCD of numbers 860, 874, 520 is 2
Given Input Data is 860, 874, 520
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 874 is 2 x 19 x 23
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 874) = 375820
GCD(860, 874) = ( 860 x 874 ) / 375820
GCD(860, 874) = 751640 / 375820
GCD(860, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
GCD(2, 520) = 1040 / 520
GCD(2, 520) = 2
GCD of 860, 874, 520 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 874, 520?
GCD of 860, 874, 520 is 2
2. Where do I get the detailed procedure to find GCD of 860, 874, 520?
You can find a detailed procedure to find GCD of 860, 874, 520 on our page.
3. How to find GCD of 860, 874, 520 on a calculator?
You can find the GCD of 860, 874, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.