GCD of 960, 805, 78, 163 Calculator

Given Input numbers are 960, 805, 78, 163

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 960, 805, 78, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 805, 78, 163 is 1.

Therefore, GCD of numbers 960, 805, 78, 163 is 1

Given Input Data is 960, 805, 78, 163

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 805 is 5 x 7 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 163 is 163

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(960, 805) = 154560

GCD(960, 805) = ( 960 x 805 ) / 154560

GCD(960, 805) = 772800 / 154560

GCD(960, 805) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 78

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

LCM(5, 78) = 390

GCD(5, 78) = ( 5 x 78 ) / 390

GCD(5, 78) = 390 / 390

GCD(5, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 960, 805, 78, 163 is 1

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• GCD of 837, 803, 27, 236
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1. What is the GCD of 960, 805, 78, 163?

GCD of 960, 805, 78, 163 is 1

2. Where do I get the detailed procedure to find GCD of 960, 805, 78, 163?

You can find a detailed procedure to find GCD of 960, 805, 78, 163 on our page.

3. How to find GCD of 960, 805, 78, 163 on a calculator?

You can find the GCD of 960, 805, 78, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.