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 655, 734, 680, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 655, 734, 680, 446 is 1
GCD(655, 734, 680, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 655, 734, 680, 446 is 1
GCD(655, 734, 680, 446) = 1
Given Input numbers are 655, 734, 680, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 655, 734, 680, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 734, 680, 446 is 1.
Therefore, GCD of numbers 655, 734, 680, 446 is 1
Given Input Data is 655, 734, 680, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 655 is 5 x 131
Prime Factorization of 734 is 2 x 367
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 446 is 2 x 223
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(655, 734) = 480770
GCD(655, 734) = ( 655 x 734 ) / 480770
GCD(655, 734) = 480770 / 480770
GCD(655, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 655, 734, 680, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 655, 734, 680, 446?
GCD of 655, 734, 680, 446 is 1
2. Where do I get the detailed procedure to find GCD of 655, 734, 680, 446?
You can find a detailed procedure to find GCD of 655, 734, 680, 446 on our page.
3. How to find GCD of 655, 734, 680, 446 on a calculator?
You can find the GCD of 655, 734, 680, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.