GCD of 960, 764, 77, 189 Calculator

Given Input numbers are 960, 764, 77, 189

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 960, 764, 77, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 764, 77, 189 is 1.

Therefore, GCD of numbers 960, 764, 77, 189 is 1

Given Input Data is 960, 764, 77, 189

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 764 is 2 x 2 x 191

Prime Factorization of 77 is 7 x 11

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 764) = 183360

GCD(960, 764) = ( 960 x 764 ) / 183360

GCD(960, 764) = 733440 / 183360

GCD(960, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 960, 764, 77, 189 is 1

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• GCD of 528, 774, 34, 543
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• GCD of 382, 531, 90, 961
• GCD of 783, 818, 48, 800

1. What is the GCD of 960, 764, 77, 189?

GCD of 960, 764, 77, 189 is 1

2. Where do I get the detailed procedure to find GCD of 960, 764, 77, 189?

You can find a detailed procedure to find GCD of 960, 764, 77, 189 on our page.

3. How to find GCD of 960, 764, 77, 189 on a calculator?

You can find the GCD of 960, 764, 77, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.