GCD of 375, 108, 214, 687 Calculator

Given Input numbers are 375, 108, 214, 687

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 (375, 108, 214, 687) = 1.

Given numbers are 375, 108, 214, 687

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 214 are 2 x 107

Prime factors of 687 are 3 x 229

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

Given numbers are 375, 108, 214, 687

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

Apply this formula for all numbers.

Step1:

LCM(375, 108) = 13500

GCD(375, 108) = ( 375 x 108 ) / 13500

= 375 / 108

= 375

Step2:

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

= 3 / 214

= 3

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 375, 108, 214, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 421, 389, 650
• GCD of 571, 493, 114, 869
• GCD of 492, 103, 430, 668
• GCD of 826, 564, 923, 919
• GCD of 114, 587, 214, 328

Given numbers are 375, 108, 214, 687
The greatest common divisor of numbers 375, 108, 214, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 108, 214, 687 is 1.

1. What is the GCD of 375, 108, 214, 687?

GCD of given numbers 375, 108, 214, 687 is 1

2. How to calculate the greatest common divisor of 375, 108, 214, 687?

We can find the highest common divisor of 375, 108, 214, 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 375, 108, 214, 687 i.e 1.

3. How can I use the GCD of 375, 108, 214, 687Calculator?

Out the numbers 375, 108, 214, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.