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 350, 912, 97, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 912, 97, 655 is 1
GCD(350, 912, 97, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 912, 97, 655 is 1
GCD(350, 912, 97, 655) = 1
Given Input numbers are 350, 912, 97, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
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 350, 912, 97, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 912, 97, 655 is 1.
Therefore, GCD of numbers 350, 912, 97, 655 is 1
Given Input Data is 350, 912, 97, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 97 is 97
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(350, 912) = 159600
GCD(350, 912) = ( 350 x 912 ) / 159600
GCD(350, 912) = 319200 / 159600
GCD(350, 912) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 97) = 194
GCD(2, 97) = ( 2 x 97 ) / 194
GCD(2, 97) = 194 / 194
GCD(2, 97) = 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 350, 912, 97, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 912, 97, 655?
GCD of 350, 912, 97, 655 is 1
2. Where do I get the detailed procedure to find GCD of 350, 912, 97, 655?
You can find a detailed procedure to find GCD of 350, 912, 97, 655 on our page.
3. How to find GCD of 350, 912, 97, 655 on a calculator?
You can find the GCD of 350, 912, 97, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.