GCD of 960, 768, 821, 431 Calculator

Given Input numbers are 960, 768, 821, 431

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 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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 960, 768, 821, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 768, 821, 431 is 1.

Therefore, GCD of numbers 960, 768, 821, 431 is 1

Given Input Data is 960, 768, 821, 431

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 821 is 821

Prime Factorization of 431 is 431

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, 768) = 3840

GCD(960, 768) = ( 960 x 768 ) / 3840

GCD(960, 768) = 737280 / 3840

GCD(960, 768) = 192

Step2:

Here we consider the GCD from the above i.e. 192 as first number and the next as 821

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

LCM(192, 821) = 157632

GCD(192, 821) = ( 192 x 821 ) / 157632

GCD(192, 821) = 157632 / 157632

GCD(192, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 960, 768, 821, 431 is 1

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• GCD of 516, 570, 402, 714
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• GCD of 341, 655, 942, 423

1. What is the GCD of 960, 768, 821, 431?

GCD of 960, 768, 821, 431 is 1

2. Where do I get the detailed procedure to find GCD of 960, 768, 821, 431?

You can find a detailed procedure to find GCD of 960, 768, 821, 431 on our page.

3. How to find GCD of 960, 768, 821, 431 on a calculator?

You can find the GCD of 960, 768, 821, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.