GCD of 128, 184, 724, 438 Calculator

Given Input numbers are 128, 184, 724, 438

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (128, 184, 724, 438) = 2.

Given numbers are 128, 184, 724, 438

The list of prime factors of all numbers are

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 128, 184, 724, 438 is 2.

Given numbers are 128, 184, 724, 438

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

Apply this formula for all numbers.

Step1:

LCM(128, 184) = 2944

GCD(128, 184) = ( 128 x 184 ) / 2944

= 128 / 184

= 128

Step2:

LCM(8, 724) = 1448

GCD(8, 724) = ( 8 x 724 ) / 1448

= 8 / 724

= 8

Step3:

LCM(4, 438) = 876

GCD(4, 438) = ( 4 x 438 ) / 876

= 4 / 438

= 4

So, Greatest Common Divisor of 128, 184, 724, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 704, 498, 545
• GCD of 310, 684, 565, 532
• GCD of 578, 632, 195, 742
• GCD of 663, 197, 751, 256
• GCD of 790, 957, 164, 164

Given numbers are 128, 184, 724, 438
The greatest common divisor of numbers 128, 184, 724, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 184, 724, 438 is 2.

1. What is the GCD of 128, 184, 724, 438?

GCD of given numbers 128, 184, 724, 438 is 2

2. How to calculate the greatest common divisor of 128, 184, 724, 438?

We can find the highest common divisor of 128, 184, 724, 438 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 128, 184, 724, 438 i.e 2.

3. How can I use the GCD of 128, 184, 724, 438Calculator?

Out the numbers 128, 184, 724, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.