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 880, 494, 50, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 494, 50, 635 is 1
GCD(880, 494, 50, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 494, 50, 635 is 1
GCD(880, 494, 50, 635) = 1
Given Input numbers are 880, 494, 50, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 880, 494, 50, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 494, 50, 635 is 1.
Therefore, GCD of numbers 880, 494, 50, 635 is 1
Given Input Data is 880, 494, 50, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 635 is 5 x 127
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(880, 494) = 217360
GCD(880, 494) = ( 880 x 494 ) / 217360
GCD(880, 494) = 434720 / 217360
GCD(880, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 635) = 1270
GCD(2, 635) = ( 2 x 635 ) / 1270
GCD(2, 635) = 1270 / 1270
GCD(2, 635) = 1
GCD of 880, 494, 50, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 494, 50, 635?
GCD of 880, 494, 50, 635 is 1
2. Where do I get the detailed procedure to find GCD of 880, 494, 50, 635?
You can find a detailed procedure to find GCD of 880, 494, 50, 635 on our page.
3. How to find GCD of 880, 494, 50, 635 on a calculator?
You can find the GCD of 880, 494, 50, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.