GCD of 960, 834, 158, 160 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 960, 834, 158, 160 i.e. 2 largest integer that divides all the numbers equally.

GCD of 960, 834, 158, 160 is 2

GCD(960, 834, 158, 160) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 960, 834, 158, 160 is 2

GCD(960, 834, 158, 160) = 2

GCD of 960,834,158,160 Calculator

GCDof 960,834,158,160 is 2

Given Input numbers are 960, 834, 158, 160

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 960, 834, 158, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 834, 158, 160 is 2.

Therefore, GCD of numbers 960, 834, 158, 160 is 2

Finding GCD of 960, 834, 158, 160 using Prime Factorization

Given Input Data is 960, 834, 158, 160

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 158 is 2 x 79

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 960, 834, 158, 160 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(960, 834) = 133440

GCD(960, 834) = ( 960 x 834 ) / 133440

GCD(960, 834) = 800640 / 133440

GCD(960, 834) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 158

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 158) = 474

GCD(6, 158) = ( 6 x 158 ) / 474

GCD(6, 158) = 948 / 474

GCD(6, 158) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 960, 834, 158, 160 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 960, 834, 158, 160

1. What is the GCD of 960, 834, 158, 160?

GCD of 960, 834, 158, 160 is 2


2. Where do I get the detailed procedure to find GCD of 960, 834, 158, 160?

You can find a detailed procedure to find GCD of 960, 834, 158, 160 on our page.


3. How to find GCD of 960, 834, 158, 160 on a calculator?

You can find the GCD of 960, 834, 158, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.