GCD of 888, 711, 714, 687 Calculator

Given Input numbers are 888, 711, 714, 687

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

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (888, 711, 714, 687) = 3.

Given numbers are 888, 711, 714, 687

The list of prime factors of all numbers are

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

Prime factors of 711 are 3 x 3 x 79

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 888, 711, 714, 687 is 3.

Given numbers are 888, 711, 714, 687

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

Apply this formula for all numbers.

Step1:

LCM(888, 711) = 210456

GCD(888, 711) = ( 888 x 711 ) / 210456

= 888 / 711

= 888

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 888, 711, 714, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 391, 677, 631
• GCD of 582, 946, 231, 274
• GCD of 516, 257, 837, 810
• GCD of 717, 870, 525, 698
• GCD of 310, 422, 995, 399

Given numbers are 888, 711, 714, 687
The greatest common divisor of numbers 888, 711, 714, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 711, 714, 687 is 3.

1. What is the GCD of 888, 711, 714, 687?

GCD of given numbers 888, 711, 714, 687 is 3

2. How to calculate the greatest common divisor of 888, 711, 714, 687?

We can find the highest common divisor of 888, 711, 714, 687 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 888, 711, 714, 687 i.e 3.

3. How can I use the GCD of 888, 711, 714, 687Calculator?

Out the numbers 888, 711, 714, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.