GCD of 938, 288, 823, 224 Calculator

Given Input numbers are 938, 288, 823, 224

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (938, 288, 823, 224) = 1.

Given numbers are 938, 288, 823, 224

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 823 are 823

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 938, 288, 823, 224

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

Apply this formula for all numbers.

Step1:

LCM(938, 288) = 135072

GCD(938, 288) = ( 938 x 288 ) / 135072

= 938 / 288

= 938

Step2:

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

= 2 / 823

= 2

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 938, 288, 823, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 189, 730, 255
• GCD of 217, 643, 464, 400
• GCD of 463, 834, 388, 594
• GCD of 891, 681, 467, 441
• GCD of 788, 927, 856, 408

Given numbers are 938, 288, 823, 224
The greatest common divisor of numbers 938, 288, 823, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 288, 823, 224 is 1.

1. What is the GCD of 938, 288, 823, 224?

GCD of given numbers 938, 288, 823, 224 is 1

2. How to calculate the greatest common divisor of 938, 288, 823, 224?

We can find the highest common divisor of 938, 288, 823, 224 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 938, 288, 823, 224 i.e 1.

3. How can I use the GCD of 938, 288, 823, 224Calculator?

Out the numbers 938, 288, 823, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.