GCD of 398, 160, 392, 364 Calculator

Given Input numbers are 398, 160, 392, 364

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (398, 160, 392, 364) = 2.

Given numbers are 398, 160, 392, 364

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 398, 160, 392, 364 is 2.

Given numbers are 398, 160, 392, 364

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

Apply this formula for all numbers.

Step1:

LCM(398, 160) = 31840

GCD(398, 160) = ( 398 x 160 ) / 31840

= 398 / 160

= 398

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 398, 160, 392, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 369, 191, 306
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• GCD of 266, 872, 897, 230

Given numbers are 398, 160, 392, 364
The greatest common divisor of numbers 398, 160, 392, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 160, 392, 364 is 2.

1. What is the GCD of 398, 160, 392, 364?

GCD of given numbers 398, 160, 392, 364 is 2

2. How to calculate the greatest common divisor of 398, 160, 392, 364?

We can find the highest common divisor of 398, 160, 392, 364 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 398, 160, 392, 364 i.e 2.

3. How can I use the GCD of 398, 160, 392, 364Calculator?

Out the numbers 398, 160, 392, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.