GCD of 918, 387, 991, 374 Calculator

Given Input numbers are 918, 387, 991, 374

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 918, 387, 991, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 387, 991, 374 is 1.

Therefore, GCD of numbers 918, 387, 991, 374 is 1

Given Input Data is 918, 387, 991, 374

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 387 is 3 x 3 x 43

Prime Factorization of 991 is 991

Prime Factorization of 374 is 2 x 11 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(918, 387) = 39474

GCD(918, 387) = ( 918 x 387 ) / 39474

GCD(918, 387) = 355266 / 39474

GCD(918, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 991

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

LCM(9, 991) = 8919

GCD(9, 991) = ( 9 x 991 ) / 8919

GCD(9, 991) = 8919 / 8919

GCD(9, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 918, 387, 991, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 130, 918, 180
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1. What is the GCD of 918, 387, 991, 374?

GCD of 918, 387, 991, 374 is 1

2. Where do I get the detailed procedure to find GCD of 918, 387, 991, 374?

You can find a detailed procedure to find GCD of 918, 387, 991, 374 on our page.

3. How to find GCD of 918, 387, 991, 374 on a calculator?

You can find the GCD of 918, 387, 991, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.