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 910, 640, 27, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 640, 27, 777 is 1
GCD(910, 640, 27, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 640, 27, 777 is 1
GCD(910, 640, 27, 777) = 1
Given Input numbers are 910, 640, 27, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 910, 640, 27, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 640, 27, 777 is 1.
Therefore, GCD of numbers 910, 640, 27, 777 is 1
Given Input Data is 910, 640, 27, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 777 is 3 x 7 x 37
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(910, 640) = 58240
GCD(910, 640) = ( 910 x 640 ) / 58240
GCD(910, 640) = 582400 / 58240
GCD(910, 640) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 27) = 270
GCD(10, 27) = ( 10 x 27 ) / 270
GCD(10, 27) = 270 / 270
GCD(10, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 910, 640, 27, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 640, 27, 777?
GCD of 910, 640, 27, 777 is 1
2. Where do I get the detailed procedure to find GCD of 910, 640, 27, 777?
You can find a detailed procedure to find GCD of 910, 640, 27, 777 on our page.
3. How to find GCD of 910, 640, 27, 777 on a calculator?
You can find the GCD of 910, 640, 27, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.