GCD of 238, 400, 605, 367 Calculator

Given Input numbers are 238, 400, 605, 367

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

Divisors of 238 :

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (238, 400, 605, 367) = 1.

Given numbers are 238, 400, 605, 367

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 605 are 5 x 11 x 11

Prime factors of 367 are 367

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

Given numbers are 238, 400, 605, 367

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

Apply this formula for all numbers.

Step1:

LCM(238, 400) = 47600

GCD(238, 400) = ( 238 x 400 ) / 47600

= 238 / 400

= 238

Step2:

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

= 2 / 605

= 2

Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1

So, Greatest Common Divisor of 238, 400, 605, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 554, 940, 613
• GCD of 267, 195, 897, 319
• GCD of 481, 902, 503, 128
• GCD of 814, 378, 306, 756
• GCD of 928, 255, 726, 156

Given numbers are 238, 400, 605, 367
The greatest common divisor of numbers 238, 400, 605, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 400, 605, 367 is 1.

1. What is the GCD of 238, 400, 605, 367?

GCD of given numbers 238, 400, 605, 367 is 1

2. How to calculate the greatest common divisor of 238, 400, 605, 367?

We can find the highest common divisor of 238, 400, 605, 367 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 238, 400, 605, 367 i.e 1.

3. How can I use the GCD of 238, 400, 605, 367Calculator?

Out the numbers 238, 400, 605, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.