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, 650, 913, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 650, 913, 959 is 1
GCD(768, 650, 913, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 650, 913, 959 is 1
GCD(768, 650, 913, 959) = 1
Given Input numbers are 768, 650, 913, 959
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 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 768, 650, 913, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 650, 913, 959 is 1.
Therefore, GCD of numbers 768, 650, 913, 959 is 1
Given Input Data is 768, 650, 913, 959
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 650 is 2 x 5 x 5 x 13
Prime Factorization of 913 is 11 x 83
Prime Factorization of 959 is 7 x 137
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, 650) = 249600
GCD(768, 650) = ( 768 x 650 ) / 249600
GCD(768, 650) = 499200 / 249600
GCD(768, 650) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
GCD(2, 913) = 1826 / 1826
GCD(2, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 768, 650, 913, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 650, 913, 959?
GCD of 768, 650, 913, 959 is 1
2. Where do I get the detailed procedure to find GCD of 768, 650, 913, 959?
You can find a detailed procedure to find GCD of 768, 650, 913, 959 on our page.
3. How to find GCD of 768, 650, 913, 959 on a calculator?
You can find the GCD of 768, 650, 913, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.