GCD of 768, 429, 21, 958 Calculator

Given Input numbers are 768, 429, 21, 958

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

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 768, 429, 21, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 429, 21, 958 is 1.

Therefore, GCD of numbers 768, 429, 21, 958 is 1

Given Input Data is 768, 429, 21, 958

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

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 429 is 3 x 11 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 958 is 2 x 479

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(768, 429) = 109824

GCD(768, 429) = ( 768 x 429 ) / 109824

GCD(768, 429) = 329472 / 109824

GCD(768, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 958

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

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

GCD(3, 958) = 2874 / 2874

GCD(3, 958) = 1

GCD of 768, 429, 21, 958 is 1

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• GCD of 236, 130, 82, 111
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1. What is the GCD of 768, 429, 21, 958?

GCD of 768, 429, 21, 958 is 1

2. Where do I get the detailed procedure to find GCD of 768, 429, 21, 958?

You can find a detailed procedure to find GCD of 768, 429, 21, 958 on our page.

3. How to find GCD of 768, 429, 21, 958 on a calculator?

You can find the GCD of 768, 429, 21, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.