GCD of 261, 647, 876, 916 Calculator

Given Input numbers are 261, 647, 876, 916

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 261, 647, 876, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 647, 876, 916 is 1.

Therefore, GCD of numbers 261, 647, 876, 916 is 1

Given Input Data is 261, 647, 876, 916

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 647 is 647

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

Prime Factorization of 916 is 2 x 2 x 229

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(261, 647) = 168867

GCD(261, 647) = ( 261 x 647 ) / 168867

GCD(261, 647) = 168867 / 168867

GCD(261, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 261, 647, 876, 916 is 1

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• GCD of 902, 298, 716, 875
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• GCD of 805, 675, 909, 957

1. What is the GCD of 261, 647, 876, 916?

GCD of 261, 647, 876, 916 is 1

2. Where do I get the detailed procedure to find GCD of 261, 647, 876, 916?

You can find a detailed procedure to find GCD of 261, 647, 876, 916 on our page.

3. How to find GCD of 261, 647, 876, 916 on a calculator?

You can find the GCD of 261, 647, 876, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.