GCD of 945, 520, 82, 916 Calculator

Given Input numbers are 945, 520, 82, 916

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 945, 520, 82, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 520, 82, 916 is 1.

Therefore, GCD of numbers 945, 520, 82, 916 is 1

Given Input Data is 945, 520, 82, 916

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 82 is 2 x 41

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(945, 520) = 98280

GCD(945, 520) = ( 945 x 520 ) / 98280

GCD(945, 520) = 491400 / 98280

GCD(945, 520) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 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 945, 520, 82, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 367, 11, 849
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• GCD of 334, 421, 72, 655
• GCD of 863, 380, 86, 124

1. What is the GCD of 945, 520, 82, 916?

GCD of 945, 520, 82, 916 is 1

2. Where do I get the detailed procedure to find GCD of 945, 520, 82, 916?

You can find a detailed procedure to find GCD of 945, 520, 82, 916 on our page.

3. How to find GCD of 945, 520, 82, 916 on a calculator?

You can find the GCD of 945, 520, 82, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.