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 734, 636, 50, 252 i.e. 2 largest integer that divides all the numbers equally.
GCD of 734, 636, 50, 252 is 2
GCD(734, 636, 50, 252) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 636, 50, 252 is 2
GCD(734, 636, 50, 252) = 2
Given Input numbers are 734, 636, 50, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 734, 636, 50, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 636, 50, 252 is 2.
Therefore, GCD of numbers 734, 636, 50, 252 is 2
Given Input Data is 734, 636, 50, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(734, 636) = 233412
GCD(734, 636) = ( 734 x 636 ) / 233412
GCD(734, 636) = 466824 / 233412
GCD(734, 636) = 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 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
GCD(2, 252) = 504 / 252
GCD(2, 252) = 2
GCD of 734, 636, 50, 252 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 636, 50, 252?
GCD of 734, 636, 50, 252 is 2
2. Where do I get the detailed procedure to find GCD of 734, 636, 50, 252?
You can find a detailed procedure to find GCD of 734, 636, 50, 252 on our page.
3. How to find GCD of 734, 636, 50, 252 on a calculator?
You can find the GCD of 734, 636, 50, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.