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 640, 152, 49, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 152, 49, 884 is 1
GCD(640, 152, 49, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 152, 49, 884 is 1
GCD(640, 152, 49, 884) = 1
Given Input numbers are 640, 152, 49, 884
To find the GCD of numbers using factoring list out all the divisors of each number
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 640, 152, 49, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 152, 49, 884 is 1.
Therefore, GCD of numbers 640, 152, 49, 884 is 1
Given Input Data is 640, 152, 49, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 49 is 7 x 7
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(640, 152) = 12160
GCD(640, 152) = ( 640 x 152 ) / 12160
GCD(640, 152) = 97280 / 12160
GCD(640, 152) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 49) = 392
GCD(8, 49) = ( 8 x 49 ) / 392
GCD(8, 49) = 392 / 392
GCD(8, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 640, 152, 49, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 152, 49, 884?
GCD of 640, 152, 49, 884 is 1
2. Where do I get the detailed procedure to find GCD of 640, 152, 49, 884?
You can find a detailed procedure to find GCD of 640, 152, 49, 884 on our page.
3. How to find GCD of 640, 152, 49, 884 on a calculator?
You can find the GCD of 640, 152, 49, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.