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 744, 543, 714, 156 i.e. 3 largest integer that divides all the numbers equally.
GCD of 744, 543, 714, 156 is 3
GCD(744, 543, 714, 156) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 543, 714, 156 is 3
GCD(744, 543, 714, 156) = 3
Given Input numbers are 744, 543, 714, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 744, 543, 714, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 543, 714, 156 is 3.
Therefore, GCD of numbers 744, 543, 714, 156 is 3
Given Input Data is 744, 543, 714, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 543 is 3 x 181
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 156 is 2 x 2 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(744, 543) = 134664
GCD(744, 543) = ( 744 x 543 ) / 134664
GCD(744, 543) = 403992 / 134664
GCD(744, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 714) = 714
GCD(3, 714) = ( 3 x 714 ) / 714
GCD(3, 714) = 2142 / 714
GCD(3, 714) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
GCD(3, 156) = 468 / 156
GCD(3, 156) = 3
GCD of 744, 543, 714, 156 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 543, 714, 156?
GCD of 744, 543, 714, 156 is 3
2. Where do I get the detailed procedure to find GCD of 744, 543, 714, 156?
You can find a detailed procedure to find GCD of 744, 543, 714, 156 on our page.
3. How to find GCD of 744, 543, 714, 156 on a calculator?
You can find the GCD of 744, 543, 714, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.