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, 682, 50, 776 i.e. 2 largest integer that divides all the numbers equally.
GCD of 536, 682, 50, 776 is 2
GCD(536, 682, 50, 776) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 682, 50, 776 is 2
GCD(536, 682, 50, 776) = 2
Given Input numbers are 536, 682, 50, 776
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 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 536, 682, 50, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 682, 50, 776 is 2.
Therefore, GCD of numbers 536, 682, 50, 776 is 2
Given Input Data is 536, 682, 50, 776
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 682 is 2 x 11 x 31
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 776 is 2 x 2 x 2 x 97
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, 682) = 182776
GCD(536, 682) = ( 536 x 682 ) / 182776
GCD(536, 682) = 365552 / 182776
GCD(536, 682) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 776) = 776
GCD(2, 776) = ( 2 x 776 ) / 776
GCD(2, 776) = 1552 / 776
GCD(2, 776) = 2
GCD of 536, 682, 50, 776 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 682, 50, 776?
GCD of 536, 682, 50, 776 is 2
2. Where do I get the detailed procedure to find GCD of 536, 682, 50, 776?
You can find a detailed procedure to find GCD of 536, 682, 50, 776 on our page.
3. How to find GCD of 536, 682, 50, 776 on a calculator?
You can find the GCD of 536, 682, 50, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.