GCD of 734, 308, 214, 189 Calculator

Given Input numbers are 734, 308, 214, 189

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (734, 308, 214, 189) = 1.

Given numbers are 734, 308, 214, 189

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 214 are 2 x 107

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 734, 308, 214, 189

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

Apply this formula for all numbers.

Step1:

LCM(734, 308) = 113036

GCD(734, 308) = ( 734 x 308 ) / 113036

= 734 / 308

= 734

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 734, 308, 214, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 617, 738, 379
• GCD of 462, 881, 806, 244
• GCD of 280, 269, 197, 240
• GCD of 112, 615, 247, 219
• GCD of 512, 444, 845, 723

Given numbers are 734, 308, 214, 189
The greatest common divisor of numbers 734, 308, 214, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 308, 214, 189 is 1.

1. What is the GCD of 734, 308, 214, 189?

GCD of given numbers 734, 308, 214, 189 is 1

2. How to calculate the greatest common divisor of 734, 308, 214, 189?

We can find the highest common divisor of 734, 308, 214, 189 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 734, 308, 214, 189 i.e 1.

3. How can I use the GCD of 734, 308, 214, 189Calculator?

Out the numbers 734, 308, 214, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.