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 737, 550, 69, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 550, 69, 459 is 1
GCD(737, 550, 69, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 550, 69, 459 is 1
GCD(737, 550, 69, 459) = 1
Given Input numbers are 737, 550, 69, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 737, 550, 69, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 550, 69, 459 is 1.
Therefore, GCD of numbers 737, 550, 69, 459 is 1
Given Input Data is 737, 550, 69, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 69 is 3 x 23
Prime Factorization of 459 is 3 x 3 x 3 x 17
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(737, 550) = 36850
GCD(737, 550) = ( 737 x 550 ) / 36850
GCD(737, 550) = 405350 / 36850
GCD(737, 550) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 69) = 759
GCD(11, 69) = ( 11 x 69 ) / 759
GCD(11, 69) = 759 / 759
GCD(11, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 737, 550, 69, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 550, 69, 459?
GCD of 737, 550, 69, 459 is 1
2. Where do I get the detailed procedure to find GCD of 737, 550, 69, 459?
You can find a detailed procedure to find GCD of 737, 550, 69, 459 on our page.
3. How to find GCD of 737, 550, 69, 459 on a calculator?
You can find the GCD of 737, 550, 69, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.