GCD of 670, 214, 361, 289 Calculator

Given Input numbers are 670, 214, 361, 289

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (670, 214, 361, 289) = 1.

Given numbers are 670, 214, 361, 289

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 214 are 2 x 107

Prime factors of 361 are 19 x 19

Prime factors of 289 are 17 x 17

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

Given numbers are 670, 214, 361, 289

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

Apply this formula for all numbers.

Step1:

LCM(670, 214) = 71690

GCD(670, 214) = ( 670 x 214 ) / 71690

= 670 / 214

= 670

Step2:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 670, 214, 361, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 694, 143, 507
• GCD of 188, 268, 358, 530
• GCD of 974, 332, 431, 669
• GCD of 635, 190, 203, 623
• GCD of 443, 287, 538, 106

Given numbers are 670, 214, 361, 289
The greatest common divisor of numbers 670, 214, 361, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 214, 361, 289 is 1.

1. What is the GCD of 670, 214, 361, 289?

GCD of given numbers 670, 214, 361, 289 is 1

2. How to calculate the greatest common divisor of 670, 214, 361, 289?

We can find the highest common divisor of 670, 214, 361, 289 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 670, 214, 361, 289 i.e 1.

3. How can I use the GCD of 670, 214, 361, 289Calculator?

Out the numbers 670, 214, 361, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.