GCD of 768, 159, 965, 157 Calculator

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

GCD of numbers 768, 159, 965, 157 is 1

GCD(768, 159, 965, 157) = 1

GCD of 768,159,965,157 Calculator

GCDof 768,159,965,157 is 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

Finding GCD of 768, 159, 965, 157 using Prime Factorization

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

Finding GCD of 768, 159, 965, 157 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 768, 159, 965, 157

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.