GCD of 918, 888, 977, 342 Calculator

Given Input numbers are 918, 888, 977, 342

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

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 918, 888, 977, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 888, 977, 342 is 1.

Therefore, GCD of numbers 918, 888, 977, 342 is 1

Given Input Data is 918, 888, 977, 342

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

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 977 is 977

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(918, 888) = 135864

GCD(918, 888) = ( 918 x 888 ) / 135864

GCD(918, 888) = 815184 / 135864

GCD(918, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 977

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

LCM(6, 977) = 5862

GCD(6, 977) = ( 6 x 977 ) / 5862

GCD(6, 977) = 5862 / 5862

GCD(6, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 918, 888, 977, 342 is 1

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1. What is the GCD of 918, 888, 977, 342?

GCD of 918, 888, 977, 342 is 1

2. Where do I get the detailed procedure to find GCD of 918, 888, 977, 342?

You can find a detailed procedure to find GCD of 918, 888, 977, 342 on our page.

3. How to find GCD of 918, 888, 977, 342 on a calculator?

You can find the GCD of 918, 888, 977, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.