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 736, 369, 47, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 369, 47, 145 is 1
GCD(736, 369, 47, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 369, 47, 145 is 1
GCD(736, 369, 47, 145) = 1
Given Input numbers are 736, 369, 47, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 736, 369, 47, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 369, 47, 145 is 1.
Therefore, GCD of numbers 736, 369, 47, 145 is 1
Given Input Data is 736, 369, 47, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 47 is 47
Prime Factorization of 145 is 5 x 29
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(736, 369) = 271584
GCD(736, 369) = ( 736 x 369 ) / 271584
GCD(736, 369) = 271584 / 271584
GCD(736, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 736, 369, 47, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 369, 47, 145?
GCD of 736, 369, 47, 145 is 1
2. Where do I get the detailed procedure to find GCD of 736, 369, 47, 145?
You can find a detailed procedure to find GCD of 736, 369, 47, 145 on our page.
3. How to find GCD of 736, 369, 47, 145 on a calculator?
You can find the GCD of 736, 369, 47, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.