GCD of 976, 268, 21, 430 Calculator

Given Input numbers are 976, 268, 21, 430

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 21

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

1, 3, 7, 21

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 976, 268, 21, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 268, 21, 430 is 1.

Therefore, GCD of numbers 976, 268, 21, 430 is 1

Given Input Data is 976, 268, 21, 430

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 21 is 3 x 7

Prime Factorization of 430 is 2 x 5 x 43

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(976, 268) = 65392

GCD(976, 268) = ( 976 x 268 ) / 65392

GCD(976, 268) = 261568 / 65392

GCD(976, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 976, 268, 21, 430 is 1

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1. What is the GCD of 976, 268, 21, 430?

GCD of 976, 268, 21, 430 is 1

2. Where do I get the detailed procedure to find GCD of 976, 268, 21, 430?

You can find a detailed procedure to find GCD of 976, 268, 21, 430 on our page.

3. How to find GCD of 976, 268, 21, 430 on a calculator?

You can find the GCD of 976, 268, 21, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.