GCD of 82, 784, 987, 260 Calculator

Given Input numbers are 82, 784, 987, 260

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 82, 784, 987, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 784, 987, 260 is 1.

Therefore, GCD of numbers 82, 784, 987, 260 is 1

Given Input Data is 82, 784, 987, 260

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(82, 784) = 32144

GCD(82, 784) = ( 82 x 784 ) / 32144

GCD(82, 784) = 64288 / 32144

GCD(82, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 82, 784, 987, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 306, 569, 461
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• GCD of 87, 263, 752, 158

1. What is the GCD of 82, 784, 987, 260?

GCD of 82, 784, 987, 260 is 1

2. Where do I get the detailed procedure to find GCD of 82, 784, 987, 260?

You can find a detailed procedure to find GCD of 82, 784, 987, 260 on our page.

3. How to find GCD of 82, 784, 987, 260 on a calculator?

You can find the GCD of 82, 784, 987, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.