GCD of 654, 731, 214, 238 Calculator

Given Input numbers are 654, 731, 214, 238

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (654, 731, 214, 238) = 1.

Given numbers are 654, 731, 214, 238

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 731 are 17 x 43

Prime factors of 214 are 2 x 107

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 654, 731, 214, 238

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

Apply this formula for all numbers.

Step1:

LCM(654, 731) = 478074

GCD(654, 731) = ( 654 x 731 ) / 478074

= 654 / 731

= 654

Step2:

LCM(1, 214) = 214

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

= 1 / 214

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 654, 731, 214, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 537, 583, 306
• GCD of 768, 169, 277, 905
• GCD of 398, 817, 793, 294
• GCD of 236, 250, 812, 598
• GCD of 152, 472, 243, 242

Given numbers are 654, 731, 214, 238
The greatest common divisor of numbers 654, 731, 214, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 731, 214, 238 is 1.

1. What is the GCD of 654, 731, 214, 238?

GCD of given numbers 654, 731, 214, 238 is 1

2. How to calculate the greatest common divisor of 654, 731, 214, 238?

We can find the highest common divisor of 654, 731, 214, 238 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 654, 731, 214, 238 i.e 1.

3. How can I use the GCD of 654, 731, 214, 238Calculator?

Out the numbers 654, 731, 214, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.