GCD of 987, 300, 888 Calculator

Given Input numbers are 987, 300, 888

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (987, 300, 888) = 3.

Given numbers are 987, 300, 888

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 987, 300, 888 is 3.

Given numbers are 987, 300, 888

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

Apply this formula for all numbers.

Step1:

LCM(987, 300) = 98700

GCD(987, 300) = ( 987 x 300 ) / 98700

= 987 / 300

= 987

Step2:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

So, Greatest Common Divisor of 987, 300, 888 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 219, 718
• GCD of 879, 645, 475
• GCD of 331, 407, 223
• GCD of 480, 511, 473
• GCD of 987, 584, 316

Given numbers are 987, 300, 888
The greatest common divisor of numbers 987, 300, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 300, 888 is 3.

1. What is the GCD of 987, 300, 888?

GCD of given numbers 987, 300, 888 is 3

2. How to calculate the greatest common divisor of 987, 300, 888?

We can find the highest common divisor of 987, 300, 888 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, 300, 888 i.e 3.

3. How can I use the GCD of 987, 300, 888Calculator?

Out the numbers 987, 300, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.