GCD of 987, 912, 682, 398 Calculator

Given Input numbers are 987, 912, 682, 398

In the factoring method, we have to find the divisors of all numbers

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (987, 912, 682, 398) = 1.

Given numbers are 987, 912, 682, 398

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 682 are 2 x 11 x 31

Prime factors of 398 are 2 x 199

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 912, 682, 398

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(987, 912) = 300048

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

= 987 / 912

= 987

Step2:

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

= 3 / 682

= 3

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 987, 912, 682, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 740, 287, 586
• GCD of 662, 662, 646, 198
• GCD of 316, 785, 903, 377
• GCD of 652, 454, 192, 749
• GCD of 686, 671, 934, 744

Given numbers are 987, 912, 682, 398
The greatest common divisor of numbers 987, 912, 682, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 912, 682, 398 is 1.

1. What is the GCD of 987, 912, 682, 398?

GCD of given numbers 987, 912, 682, 398 is 1

2. How to calculate the greatest common divisor of 987, 912, 682, 398?

We can find the highest common divisor of 987, 912, 682, 398 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 987, 912, 682, 398 i.e 1.

3. How can I use the GCD of 987, 912, 682, 398Calculator?

Out the numbers 987, 912, 682, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.