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 684, 655, 10, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 655, 10, 737 is 1
GCD(684, 655, 10, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 655, 10, 737 is 1
GCD(684, 655, 10, 737) = 1
Given Input numbers are 684, 655, 10, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 684, 655, 10, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 655, 10, 737 is 1.
Therefore, GCD of numbers 684, 655, 10, 737 is 1
Given Input Data is 684, 655, 10, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 655 is 5 x 131
Prime Factorization of 10 is 2 x 5
Prime Factorization of 737 is 11 x 67
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(684, 655) = 448020
GCD(684, 655) = ( 684 x 655 ) / 448020
GCD(684, 655) = 448020 / 448020
GCD(684, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 684, 655, 10, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 655, 10, 737?
GCD of 684, 655, 10, 737 is 1
2. Where do I get the detailed procedure to find GCD of 684, 655, 10, 737?
You can find a detailed procedure to find GCD of 684, 655, 10, 737 on our page.
3. How to find GCD of 684, 655, 10, 737 on a calculator?
You can find the GCD of 684, 655, 10, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.