GCD of 976, 526, 979, 538 Calculator

Given Input numbers are 976, 526, 979, 538

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 976, 526, 979, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 526, 979, 538 is 1.

Therefore, GCD of numbers 976, 526, 979, 538 is 1

Given Input Data is 976, 526, 979, 538

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 526 is 2 x 263

Prime Factorization of 979 is 11 x 89

Prime Factorization of 538 is 2 x 269

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, 526) = 256688

GCD(976, 526) = ( 976 x 526 ) / 256688

GCD(976, 526) = 513376 / 256688

GCD(976, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 976, 526, 979, 538 is 1

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1. What is the GCD of 976, 526, 979, 538?

GCD of 976, 526, 979, 538 is 1

2. Where do I get the detailed procedure to find GCD of 976, 526, 979, 538?

You can find a detailed procedure to find GCD of 976, 526, 979, 538 on our page.

3. How to find GCD of 976, 526, 979, 538 on a calculator?

You can find the GCD of 976, 526, 979, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.