GCD of 352, 398, 596, 438 Calculator

Given Input numbers are 352, 398, 596, 438

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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 (352, 398, 596, 438) = 2.

Given numbers are 352, 398, 596, 438

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 398 are 2 x 199

Prime factors of 596 are 2 x 2 x 149

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 352, 398, 596, 438 is 2.

Given numbers are 352, 398, 596, 438

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

Apply this formula for all numbers.

Step1:

LCM(352, 398) = 70048

GCD(352, 398) = ( 352 x 398 ) / 70048

= 352 / 398

= 352

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 352, 398, 596, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 187, 519, 728
• GCD of 928, 318, 835, 405
• GCD of 911, 441, 340, 222
• GCD of 460, 683, 893, 610
• GCD of 105, 755, 206, 136

Given numbers are 352, 398, 596, 438
The greatest common divisor of numbers 352, 398, 596, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 398, 596, 438 is 2.

1. What is the GCD of 352, 398, 596, 438?

GCD of given numbers 352, 398, 596, 438 is 2

2. How to calculate the greatest common divisor of 352, 398, 596, 438?

We can find the highest common divisor of 352, 398, 596, 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 352, 398, 596, 438 i.e 2.

3. How can I use the GCD of 352, 398, 596, 438Calculator?

Out the numbers 352, 398, 596, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.