GCD of 976, 492, 65, 813 Calculator

Given Input numbers are 976, 492, 65, 813

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 976, 492, 65, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 492, 65, 813 is 1.

Therefore, GCD of numbers 976, 492, 65, 813 is 1

Given Input Data is 976, 492, 65, 813

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 65 is 5 x 13

Prime Factorization of 813 is 3 x 271

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, 492) = 120048

GCD(976, 492) = ( 976 x 492 ) / 120048

GCD(976, 492) = 480192 / 120048

GCD(976, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 976, 492, 65, 813 is 1

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1. What is the GCD of 976, 492, 65, 813?

GCD of 976, 492, 65, 813 is 1

2. Where do I get the detailed procedure to find GCD of 976, 492, 65, 813?

You can find a detailed procedure to find GCD of 976, 492, 65, 813 on our page.

3. How to find GCD of 976, 492, 65, 813 on a calculator?

You can find the GCD of 976, 492, 65, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.