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, 159, 965, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 159, 965, 157 is 1
GCD(768, 159, 965, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 159, 965, 157 is 1
GCD(768, 159, 965, 157) = 1
Given Input numbers are 768, 159, 965, 157
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 768, 159, 965, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 159, 965, 157 is 1.
Therefore, GCD of numbers 768, 159, 965, 157 is 1
Given Input Data is 768, 159, 965, 157
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 159 is 3 x 53
Prime Factorization of 965 is 5 x 193
Prime Factorization of 157 is 157
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, 159) = 40704
GCD(768, 159) = ( 768 x 159 ) / 40704
GCD(768, 159) = 122112 / 40704
GCD(768, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 965) = 2895
GCD(3, 965) = ( 3 x 965 ) / 2895
GCD(3, 965) = 2895 / 2895
GCD(3, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 768, 159, 965, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 159, 965, 157?
GCD of 768, 159, 965, 157 is 1
2. Where do I get the detailed procedure to find GCD of 768, 159, 965, 157?
You can find a detailed procedure to find GCD of 768, 159, 965, 157 on our page.
3. How to find GCD of 768, 159, 965, 157 on a calculator?
You can find the GCD of 768, 159, 965, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.