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 918, 548, 335, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 548, 335, 655 is 1
GCD(918, 548, 335, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 548, 335, 655 is 1
GCD(918, 548, 335, 655) = 1
Given Input numbers are 918, 548, 335, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 918, 548, 335, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 548, 335, 655 is 1.
Therefore, GCD of numbers 918, 548, 335, 655 is 1
Given Input Data is 918, 548, 335, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 335 is 5 x 67
Prime Factorization of 655 is 5 x 131
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(918, 548) = 251532
GCD(918, 548) = ( 918 x 548 ) / 251532
GCD(918, 548) = 503064 / 251532
GCD(918, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 918, 548, 335, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 548, 335, 655?
GCD of 918, 548, 335, 655 is 1
2. Where do I get the detailed procedure to find GCD of 918, 548, 335, 655?
You can find a detailed procedure to find GCD of 918, 548, 335, 655 on our page.
3. How to find GCD of 918, 548, 335, 655 on a calculator?
You can find the GCD of 918, 548, 335, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.