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 743, 576, 714, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 576, 714, 152 is 1
GCD(743, 576, 714, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 576, 714, 152 is 1
GCD(743, 576, 714, 152) = 1
Given Input numbers are 743, 576, 714, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 743, 576, 714, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 576, 714, 152 is 1.
Therefore, GCD of numbers 743, 576, 714, 152 is 1
Given Input Data is 743, 576, 714, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 152 is 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
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(743, 576) = 427968
GCD(743, 576) = ( 743 x 576 ) / 427968
GCD(743, 576) = 427968 / 427968
GCD(743, 576) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 743, 576, 714, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 576, 714, 152?
GCD of 743, 576, 714, 152 is 1
2. Where do I get the detailed procedure to find GCD of 743, 576, 714, 152?
You can find a detailed procedure to find GCD of 743, 576, 714, 152 on our page.
3. How to find GCD of 743, 576, 714, 152 on a calculator?
You can find the GCD of 743, 576, 714, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.