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, 744, 95, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 744, 95, 697 is 1
GCD(536, 744, 95, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 744, 95, 697 is 1
GCD(536, 744, 95, 697) = 1
Given Input numbers are 536, 744, 95, 697
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 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 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 536, 744, 95, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 744, 95, 697 is 1.
Therefore, GCD of numbers 536, 744, 95, 697 is 1
Given Input Data is 536, 744, 95, 697
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 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 95 is 5 x 19
Prime Factorization of 697 is 17 x 41
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(536, 744) = 49848
GCD(536, 744) = ( 536 x 744 ) / 49848
GCD(536, 744) = 398784 / 49848
GCD(536, 744) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 95) = 760
GCD(8, 95) = ( 8 x 95 ) / 760
GCD(8, 95) = 760 / 760
GCD(8, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 536, 744, 95, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 744, 95, 697?
GCD of 536, 744, 95, 697 is 1
2. Where do I get the detailed procedure to find GCD of 536, 744, 95, 697?
You can find a detailed procedure to find GCD of 536, 744, 95, 697 on our page.
3. How to find GCD of 536, 744, 95, 697 on a calculator?
You can find the GCD of 536, 744, 95, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.