GCD of 687, 750, 381 Calculator

Given Input numbers are 687, 750, 381

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (687, 750, 381) = 3.

Given numbers are 687, 750, 381

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 687, 750, 381 is 3.

Given numbers are 687, 750, 381

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

Apply this formula for all numbers.

Step1:

LCM(687, 750) = 171750

GCD(687, 750) = ( 687 x 750 ) / 171750

= 687 / 750

= 687

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 687, 750, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 123, 833
• GCD of 364, 297, 288
• GCD of 369, 113, 387
• GCD of 674, 762, 527
• GCD of 629, 548, 682

Given numbers are 687, 750, 381
The greatest common divisor of numbers 687, 750, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 750, 381 is 3.

1. What is the GCD of 687, 750, 381?

GCD of given numbers 687, 750, 381 is 3

2. How to calculate the greatest common divisor of 687, 750, 381?

We can find the highest common divisor of 687, 750, 381 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 687, 750, 381 i.e 3.

3. How can I use the GCD of 687, 750, 381Calculator?

Out the numbers 687, 750, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.