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, 890, 15, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 890, 15, 440 is 1
GCD(654, 890, 15, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 890, 15, 440 is 1
GCD(654, 890, 15, 440) = 1
Given Input numbers are 654, 890, 15, 440
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 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 654, 890, 15, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 890, 15, 440 is 1.
Therefore, GCD of numbers 654, 890, 15, 440 is 1
Given Input Data is 654, 890, 15, 440
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 890 is 2 x 5 x 89
Prime Factorization of 15 is 3 x 5
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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, 890) = 291030
GCD(654, 890) = ( 654 x 890 ) / 291030
GCD(654, 890) = 582060 / 291030
GCD(654, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 654, 890, 15, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 890, 15, 440?
GCD of 654, 890, 15, 440 is 1
2. Where do I get the detailed procedure to find GCD of 654, 890, 15, 440?
You can find a detailed procedure to find GCD of 654, 890, 15, 440 on our page.
3. How to find GCD of 654, 890, 15, 440 on a calculator?
You can find the GCD of 654, 890, 15, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.