GCD of 370, 187, 395, 214 Calculator

Given Input numbers are 370, 187, 395, 214

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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 (370, 187, 395, 214) = 1.

Given numbers are 370, 187, 395, 214

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 187 are 11 x 17

Prime factors of 395 are 5 x 79

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 370, 187, 395, 214

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

Apply this formula for all numbers.

Step1:

LCM(370, 187) = 69190

GCD(370, 187) = ( 370 x 187 ) / 69190

= 370 / 187

= 370

Step2:

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

= 1 / 395

= 1

Step3:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 370, 187, 395, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 957, 564, 790
• GCD of 807, 973, 964, 232
• GCD of 582, 128, 453, 453
• GCD of 267, 910, 882, 856
• GCD of 562, 991, 122, 171

Given numbers are 370, 187, 395, 214
The greatest common divisor of numbers 370, 187, 395, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 187, 395, 214 is 1.

1. What is the GCD of 370, 187, 395, 214?

GCD of given numbers 370, 187, 395, 214 is 1

2. How to calculate the greatest common divisor of 370, 187, 395, 214?

We can find the highest common divisor of 370, 187, 395, 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 370, 187, 395, 214 i.e 1.

3. How can I use the GCD of 370, 187, 395, 214Calculator?

Out the numbers 370, 187, 395, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.