GCD of 614, 108, 121, 238 Calculator

Given Input numbers are 614, 108, 121, 238

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

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 (614, 108, 121, 238) = 1.

Given numbers are 614, 108, 121, 238

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 121 are 11 x 11

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 614, 108, 121, 238

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

Apply this formula for all numbers.

Step1:

LCM(614, 108) = 33156

GCD(614, 108) = ( 614 x 108 ) / 33156

= 614 / 108

= 614

Step2:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

Step3:

LCM(1, 238) = 238

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

= 1 / 238

= 1

So, Greatest Common Divisor of 614, 108, 121, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 660, 691, 961
• GCD of 437, 324, 507, 884
• GCD of 901, 746, 117, 160
• GCD of 453, 641, 130, 630
• GCD of 778, 212, 903, 482

Given numbers are 614, 108, 121, 238
The greatest common divisor of numbers 614, 108, 121, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 108, 121, 238 is 1.

1. What is the GCD of 614, 108, 121, 238?

GCD of given numbers 614, 108, 121, 238 is 1

2. How to calculate the greatest common divisor of 614, 108, 121, 238?

We can find the highest common divisor of 614, 108, 121, 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 614, 108, 121, 238 i.e 1.

3. How can I use the GCD of 614, 108, 121, 238Calculator?

Out the numbers 614, 108, 121, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.