GCD of 238, 448, 723, 844 Calculator

Given Input numbers are 238, 448, 723, 844

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (238, 448, 723, 844) = 1.

Given numbers are 238, 448, 723, 844

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 723 are 3 x 241

Prime factors of 844 are 2 x 2 x 211

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

Given numbers are 238, 448, 723, 844

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

Apply this formula for all numbers.

Step1:

LCM(238, 448) = 7616

GCD(238, 448) = ( 238 x 448 ) / 7616

= 238 / 448

= 238

Step2:

LCM(14, 723) = 10122

GCD(14, 723) = ( 14 x 723 ) / 10122

= 14 / 723

= 14

Step3:

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

= 1 / 844

= 1

So, Greatest Common Divisor of 238, 448, 723, 844 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 505, 520, 648
• GCD of 699, 979, 229, 211
• GCD of 407, 909, 737, 313
• GCD of 327, 222, 599, 754
• GCD of 492, 772, 478, 901

Given numbers are 238, 448, 723, 844
The greatest common divisor of numbers 238, 448, 723, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 448, 723, 844 is 1.

1. What is the GCD of 238, 448, 723, 844?

GCD of given numbers 238, 448, 723, 844 is 1

2. How to calculate the greatest common divisor of 238, 448, 723, 844?

We can find the highest common divisor of 238, 448, 723, 844 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, 448, 723, 844 i.e 1.

3. How can I use the GCD of 238, 448, 723, 844Calculator?

Out the numbers 238, 448, 723, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.