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 550, 344, 26, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 344, 26, 765 is 1
GCD(550, 344, 26, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 344, 26, 765 is 1
GCD(550, 344, 26, 765) = 1
Given Input numbers are 550, 344, 26, 765
To find the GCD of numbers using factoring list out all the divisors of each number
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 550, 344, 26, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 344, 26, 765 is 1.
Therefore, GCD of numbers 550, 344, 26, 765 is 1
Given Input Data is 550, 344, 26, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 26 is 2 x 13
Prime Factorization of 765 is 3 x 3 x 5 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(550, 344) = 94600
GCD(550, 344) = ( 550 x 344 ) / 94600
GCD(550, 344) = 189200 / 94600
GCD(550, 344) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
GCD(2, 765) = 1530 / 1530
GCD(2, 765) = 1
GCD of 550, 344, 26, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 344, 26, 765?
GCD of 550, 344, 26, 765 is 1
2. Where do I get the detailed procedure to find GCD of 550, 344, 26, 765?
You can find a detailed procedure to find GCD of 550, 344, 26, 765 on our page.
3. How to find GCD of 550, 344, 26, 765 on a calculator?
You can find the GCD of 550, 344, 26, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.