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 768, 626, 50, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 626, 50, 895 is 1
GCD(768, 626, 50, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 626, 50, 895 is 1
GCD(768, 626, 50, 895) = 1
Given Input numbers are 768, 626, 50, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 768, 626, 50, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 626, 50, 895 is 1.
Therefore, GCD of numbers 768, 626, 50, 895 is 1
Given Input Data is 768, 626, 50, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 626 is 2 x 313
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 895 is 5 x 179
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(768, 626) = 240384
GCD(768, 626) = ( 768 x 626 ) / 240384
GCD(768, 626) = 480768 / 240384
GCD(768, 626) = 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 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 895) = 1790
GCD(2, 895) = ( 2 x 895 ) / 1790
GCD(2, 895) = 1790 / 1790
GCD(2, 895) = 1
GCD of 768, 626, 50, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 626, 50, 895?
GCD of 768, 626, 50, 895 is 1
2. Where do I get the detailed procedure to find GCD of 768, 626, 50, 895?
You can find a detailed procedure to find GCD of 768, 626, 50, 895 on our page.
3. How to find GCD of 768, 626, 50, 895 on a calculator?
You can find the GCD of 768, 626, 50, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.