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 654, 645, 894, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 645, 894, 685 is 1
GCD(654, 645, 894, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 645, 894, 685 is 1
GCD(654, 645, 894, 685) = 1
Given Input numbers are 654, 645, 894, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 654, 645, 894, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 645, 894, 685 is 1.
Therefore, GCD of numbers 654, 645, 894, 685 is 1
Given Input Data is 654, 645, 894, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 685 is 5 x 137
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(654, 645) = 140610
GCD(654, 645) = ( 654 x 645 ) / 140610
GCD(654, 645) = 421830 / 140610
GCD(654, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 894) = 894
GCD(3, 894) = ( 3 x 894 ) / 894
GCD(3, 894) = 2682 / 894
GCD(3, 894) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 685) = 2055
GCD(3, 685) = ( 3 x 685 ) / 2055
GCD(3, 685) = 2055 / 2055
GCD(3, 685) = 1
GCD of 654, 645, 894, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 645, 894, 685?
GCD of 654, 645, 894, 685 is 1
2. Where do I get the detailed procedure to find GCD of 654, 645, 894, 685?
You can find a detailed procedure to find GCD of 654, 645, 894, 685 on our page.
3. How to find GCD of 654, 645, 894, 685 on a calculator?
You can find the GCD of 654, 645, 894, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.