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 802, 850, 862 i.e. 2 largest integer that divides all the numbers equally.
GCD of 802, 850, 862 is 2
GCD(802, 850, 862) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 802, 850, 862 is 2
GCD(802, 850, 862) = 2
Given Input numbers are 802, 850, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 802, 850, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 850, 862 is 2.
Therefore, GCD of numbers 802, 850, 862 is 2
Given Input Data is 802, 850, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 802 is 2 x 401
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 862 is 2 x 431
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(802, 850) = 340850
GCD(802, 850) = ( 802 x 850 ) / 340850
GCD(802, 850) = 681700 / 340850
GCD(802, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
GCD(2, 862) = 1724 / 862
GCD(2, 862) = 2
GCD of 802, 850, 862 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 802, 850, 862?
GCD of 802, 850, 862 is 2
2. Where do I get the detailed procedure to find GCD of 802, 850, 862?
You can find a detailed procedure to find GCD of 802, 850, 862 on our page.
3. How to find GCD of 802, 850, 862 on a calculator?
You can find the GCD of 802, 850, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.