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 440, 360, 821, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 360, 821, 653 is 1
GCD(440, 360, 821, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 360, 821, 653 is 1
GCD(440, 360, 821, 653) = 1
Given Input numbers are 440, 360, 821, 653
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 440, 360, 821, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 360, 821, 653 is 1.
Therefore, GCD of numbers 440, 360, 821, 653 is 1
Given Input Data is 440, 360, 821, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 821 is 821
Prime Factorization of 653 is 653
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(440, 360) = 3960
GCD(440, 360) = ( 440 x 360 ) / 3960
GCD(440, 360) = 158400 / 3960
GCD(440, 360) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 821) = 32840
GCD(40, 821) = ( 40 x 821 ) / 32840
GCD(40, 821) = 32840 / 32840
GCD(40, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 440, 360, 821, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 360, 821, 653?
GCD of 440, 360, 821, 653 is 1
2. Where do I get the detailed procedure to find GCD of 440, 360, 821, 653?
You can find a detailed procedure to find GCD of 440, 360, 821, 653 on our page.
3. How to find GCD of 440, 360, 821, 653 on a calculator?
You can find the GCD of 440, 360, 821, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.