GCD of 960, 165, 161 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, 165, 161 i.e. 1 largest integer that divides all the numbers equally.

GCD of 960, 165, 161 is 1

GCD(960, 165, 161) = 1

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

GCD of

GCD of numbers 960, 165, 161 is 1

GCD(960, 165, 161) = 1

GCD of 960,165,161 Calculator

GCDof 960,165,161 is 1

Given Input numbers are 960, 165, 161

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 960, 165, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 165, 161 is 1.

Therefore, GCD of numbers 960, 165, 161 is 1

Finding GCD of 960, 165, 161 using Prime Factorization

Given Input Data is 960, 165, 161

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 165 is 3 x 5 x 11

Prime Factorization of 161 is 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 960, 165, 161 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, 165) = 10560

GCD(960, 165) = ( 960 x 165 ) / 10560

GCD(960, 165) = 158400 / 10560

GCD(960, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 161

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

LCM(15, 161) = 2415

GCD(15, 161) = ( 15 x 161 ) / 2415

GCD(15, 161) = 2415 / 2415

GCD(15, 161) = 1

GCD of 960, 165, 161 is 1

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FAQs on GCD of numbers 960, 165, 161

1. What is the GCD of 960, 165, 161?

GCD of 960, 165, 161 is 1

2. Where do I get the detailed procedure to find GCD of 960, 165, 161?

You can find a detailed procedure to find GCD of 960, 165, 161 on our page.

3. How to find GCD of 960, 165, 161 on a calculator?

You can find the GCD of 960, 165, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.