GCD of 987, 810, 814, 882 Calculator

Given Input numbers are 987, 810, 814, 882

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 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (987, 810, 814, 882) = 1.

Given numbers are 987, 810, 814, 882

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Given numbers are 987, 810, 814, 882

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

Apply this formula for all numbers.

Step1:

LCM(987, 810) = 266490

GCD(987, 810) = ( 987 x 810 ) / 266490

= 987 / 810

= 987

Step2:

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

= 3 / 814

= 3

Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1

So, Greatest Common Divisor of 987, 810, 814, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 435, 287, 880
• GCD of 649, 693, 528, 706
• GCD of 998, 490, 533, 990
• GCD of 222, 563, 338, 366
• GCD of 163, 665, 173, 548

Given numbers are 987, 810, 814, 882
The greatest common divisor of numbers 987, 810, 814, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 810, 814, 882 is 1.

1. What is the GCD of 987, 810, 814, 882?

GCD of given numbers 987, 810, 814, 882 is 1

2. How to calculate the greatest common divisor of 987, 810, 814, 882?

We can find the highest common divisor of 987, 810, 814, 882 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, 810, 814, 882 i.e 1.

3. How can I use the GCD of 987, 810, 814, 882Calculator?

Out the numbers 987, 810, 814, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.