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, 764, 40, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 764, 40, 877 is 1
GCD(440, 764, 40, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 764, 40, 877 is 1
GCD(440, 764, 40, 877) = 1
Given Input numbers are 440, 764, 40, 877
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 440, 764, 40, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 764, 40, 877 is 1.
Therefore, GCD of numbers 440, 764, 40, 877 is 1
Given Input Data is 440, 764, 40, 877
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 764 is 2 x 2 x 191
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 877 is 877
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, 764) = 84040
GCD(440, 764) = ( 440 x 764 ) / 84040
GCD(440, 764) = 336160 / 84040
GCD(440, 764) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 877) = 3508
GCD(4, 877) = ( 4 x 877 ) / 3508
GCD(4, 877) = 3508 / 3508
GCD(4, 877) = 1
GCD of 440, 764, 40, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 764, 40, 877?
GCD of 440, 764, 40, 877 is 1
2. Where do I get the detailed procedure to find GCD of 440, 764, 40, 877?
You can find a detailed procedure to find GCD of 440, 764, 40, 877 on our page.
3. How to find GCD of 440, 764, 40, 877 on a calculator?
You can find the GCD of 440, 764, 40, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.