GCD of 87, 309, 968, 918 Calculator

Given Input numbers are 87, 309, 968, 918

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 87, 309, 968, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 309, 968, 918 is 1.

Therefore, GCD of numbers 87, 309, 968, 918 is 1

Given Input Data is 87, 309, 968, 918

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 309 is 3 x 103

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(87, 309) = 8961

GCD(87, 309) = ( 87 x 309 ) / 8961

GCD(87, 309) = 26883 / 8961

GCD(87, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

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

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 87, 309, 968, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 329, 527, 578
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• GCD of 81, 590, 249, 783

1. What is the GCD of 87, 309, 968, 918?

GCD of 87, 309, 968, 918 is 1

2. Where do I get the detailed procedure to find GCD of 87, 309, 968, 918?

You can find a detailed procedure to find GCD of 87, 309, 968, 918 on our page.

3. How to find GCD of 87, 309, 968, 918 on a calculator?

You can find the GCD of 87, 309, 968, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.