GCD of 308, 238, 71, 406 Calculator

Given Input numbers are 308, 238, 71, 406

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

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 238 :

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

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

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (308, 238, 71, 406) = 1.

Given numbers are 308, 238, 71, 406

The list of prime factors of all numbers are

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

Prime factors of 238 are 2 x 7 x 17

Prime factors of 71 are 71

Prime factors of 406 are 2 x 7 x 29

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

Given numbers are 308, 238, 71, 406

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

Apply this formula for all numbers.

Step1:

LCM(308, 238) = 5236

GCD(308, 238) = ( 308 x 238 ) / 5236

= 308 / 238

= 308

Step2:

LCM(14, 71) = 994

GCD(14, 71) = ( 14 x 71 ) / 994

= 14 / 71

= 14

Step3:

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

= 1 / 406

= 1

So, Greatest Common Divisor of 308, 238, 71, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 219, 21, 845
• GCD of 207, 899, 18, 207
• GCD of 107, 863, 34, 507
• GCD of 420, 183, 92, 301
• GCD of 211, 589, 29, 539

Given numbers are 308, 238, 71, 406
The greatest common divisor of numbers 308, 238, 71, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 238, 71, 406 is 1.

1. What is the GCD of 308, 238, 71, 406?

GCD of given numbers 308, 238, 71, 406 is 1

2. How to calculate the greatest common divisor of 308, 238, 71, 406?

We can find the highest common divisor of 308, 238, 71, 406 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 308, 238, 71, 406 i.e 1.

3. How can I use the GCD of 308, 238, 71, 406Calculator?

Out the numbers 308, 238, 71, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.