GCD of 976, 384, 876, 527 Calculator

Given Input numbers are 976, 384, 876, 527

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 976, 384, 876, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 384, 876, 527 is 1.

Therefore, GCD of numbers 976, 384, 876, 527 is 1

Given Input Data is 976, 384, 876, 527

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 527 is 17 x 31

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, 384) = 23424

GCD(976, 384) = ( 976 x 384 ) / 23424

GCD(976, 384) = 374784 / 23424

GCD(976, 384) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 876

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

LCM(16, 876) = 3504

GCD(16, 876) = ( 16 x 876 ) / 3504

GCD(16, 876) = 14016 / 3504

GCD(16, 876) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

GCD of 976, 384, 876, 527 is 1

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1. What is the GCD of 976, 384, 876, 527?

GCD of 976, 384, 876, 527 is 1

2. Where do I get the detailed procedure to find GCD of 976, 384, 876, 527?

You can find a detailed procedure to find GCD of 976, 384, 876, 527 on our page.

3. How to find GCD of 976, 384, 876, 527 on a calculator?

You can find the GCD of 976, 384, 876, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.