GCD of 976, 538, 288, 929 Calculator

Given Input numbers are 976, 538, 288, 929

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 976, 538, 288, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 538, 288, 929 is 1.

Therefore, GCD of numbers 976, 538, 288, 929 is 1

Given Input Data is 976, 538, 288, 929

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 538 is 2 x 269

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 929 is 929

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, 538) = 262544

GCD(976, 538) = ( 976 x 538 ) / 262544

GCD(976, 538) = 525088 / 262544

GCD(976, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

GCD of 976, 538, 288, 929 is 1

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1. What is the GCD of 976, 538, 288, 929?

GCD of 976, 538, 288, 929 is 1

2. Where do I get the detailed procedure to find GCD of 976, 538, 288, 929?

You can find a detailed procedure to find GCD of 976, 538, 288, 929 on our page.

3. How to find GCD of 976, 538, 288, 929 on a calculator?

You can find the GCD of 976, 538, 288, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.