GCD of 976, 654, 459, 815 Calculator

Given Input numbers are 976, 654, 459, 815

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 976, 654, 459, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 654, 459, 815 is 1.

Therefore, GCD of numbers 976, 654, 459, 815 is 1

Given Input Data is 976, 654, 459, 815

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 654 is 2 x 3 x 109

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 815 is 5 x 163

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, 654) = 319152

GCD(976, 654) = ( 976 x 654 ) / 319152

GCD(976, 654) = 638304 / 319152

GCD(976, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 976, 654, 459, 815 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 950, 172, 525, 491

1. What is the GCD of 976, 654, 459, 815?

GCD of 976, 654, 459, 815 is 1

2. Where do I get the detailed procedure to find GCD of 976, 654, 459, 815?

You can find a detailed procedure to find GCD of 976, 654, 459, 815 on our page.

3. How to find GCD of 976, 654, 459, 815 on a calculator?

You can find the GCD of 976, 654, 459, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.