GCD of 987, 912, 898, 114 Calculator

Given Input numbers are 987, 912, 898, 114

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

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 987, 912, 898, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 912, 898, 114 is 1.

Therefore, GCD of numbers 987, 912, 898, 114 is 1

Given Input Data is 987, 912, 898, 114

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 898 is 2 x 449

Prime Factorization of 114 is 2 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(987, 912) = 300048

GCD(987, 912) = ( 987 x 912 ) / 300048

GCD(987, 912) = 900144 / 300048

GCD(987, 912) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 987, 912, 898, 114 is 1

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• GCD of 823, 102, 890, 800
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• GCD of 442, 807, 108, 881

1. What is the GCD of 987, 912, 898, 114?

GCD of 987, 912, 898, 114 is 1

2. Where do I get the detailed procedure to find GCD of 987, 912, 898, 114?

You can find a detailed procedure to find GCD of 987, 912, 898, 114 on our page.

3. How to find GCD of 987, 912, 898, 114 on a calculator?

You can find the GCD of 987, 912, 898, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.