GCD of 398, 416, 588, 441 Calculator

Given Input numbers are 398, 416, 588, 441

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 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (398, 416, 588, 441) = 1.

Given numbers are 398, 416, 588, 441

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 441 are 3 x 3 x 7 x 7

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

Given numbers are 398, 416, 588, 441

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

Apply this formula for all numbers.

Step1:

LCM(398, 416) = 82784

GCD(398, 416) = ( 398 x 416 ) / 82784

= 398 / 416

= 398

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

= 2 / 441

= 2

So, Greatest Common Divisor of 398, 416, 588, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 383, 416, 465
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• GCD of 289, 716, 804, 971
• GCD of 392, 399, 715, 348
• GCD of 908, 274, 506, 630

Given numbers are 398, 416, 588, 441
The greatest common divisor of numbers 398, 416, 588, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 416, 588, 441 is 1.

1. What is the GCD of 398, 416, 588, 441?

GCD of given numbers 398, 416, 588, 441 is 1

2. How to calculate the greatest common divisor of 398, 416, 588, 441?

We can find the highest common divisor of 398, 416, 588, 441 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, 416, 588, 441 i.e 1.

3. How can I use the GCD of 398, 416, 588, 441Calculator?

Out the numbers 398, 416, 588, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.