GCD of 687, 376, 201, 214 Calculator

Given Input numbers are 687, 376, 201, 214

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (687, 376, 201, 214) = 1.

Given numbers are 687, 376, 201, 214

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 201 are 3 x 67

Prime factors of 214 are 2 x 107

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

Given numbers are 687, 376, 201, 214

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

Apply this formula for all numbers.

Step1:

LCM(687, 376) = 258312

GCD(687, 376) = ( 687 x 376 ) / 258312

= 687 / 376

= 687

Step2:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 687, 376, 201, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 799, 597, 565
• GCD of 221, 759, 223, 559
• GCD of 368, 170, 677, 454
• GCD of 173, 500, 193, 526
• GCD of 580, 125, 639, 248

Given numbers are 687, 376, 201, 214
The greatest common divisor of numbers 687, 376, 201, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 376, 201, 214 is 1.

1. What is the GCD of 687, 376, 201, 214?

GCD of given numbers 687, 376, 201, 214 is 1

2. How to calculate the greatest common divisor of 687, 376, 201, 214?

We can find the highest common divisor of 687, 376, 201, 214 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, 376, 201, 214 i.e 1.

3. How can I use the GCD of 687, 376, 201, 214Calculator?

Out the numbers 687, 376, 201, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.