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 536, 850, 836, 292 i.e. 2 largest integer that divides all the numbers equally.
GCD of 536, 850, 836, 292 is 2
GCD(536, 850, 836, 292) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 850, 836, 292 is 2
GCD(536, 850, 836, 292) = 2
Given Input numbers are 536, 850, 836, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
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 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 536, 850, 836, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 850, 836, 292 is 2.
Therefore, GCD of numbers 536, 850, 836, 292 is 2
Given Input Data is 536, 850, 836, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 292 is 2 x 2 x 73
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(536, 850) = 227800
GCD(536, 850) = ( 536 x 850 ) / 227800
GCD(536, 850) = 455600 / 227800
GCD(536, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
GCD(2, 836) = 1672 / 836
GCD(2, 836) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
GCD(2, 292) = 584 / 292
GCD(2, 292) = 2
GCD of 536, 850, 836, 292 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 850, 836, 292?
GCD of 536, 850, 836, 292 is 2
2. Where do I get the detailed procedure to find GCD of 536, 850, 836, 292?
You can find a detailed procedure to find GCD of 536, 850, 836, 292 on our page.
3. How to find GCD of 536, 850, 836, 292 on a calculator?
You can find the GCD of 536, 850, 836, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.