GCD of 327, 420, 431, 448 Calculator

Given Input numbers are 327, 420, 431, 448

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (327, 420, 431, 448) = 1.

Given numbers are 327, 420, 431, 448

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 431 are 431

Prime factors of 448 are 2 x 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 327, 420, 431, 448

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

Apply this formula for all numbers.

Step1:

LCM(327, 420) = 45780

GCD(327, 420) = ( 327 x 420 ) / 45780

= 327 / 420

= 327

Step2:

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

= 3 / 431

= 3

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 327, 420, 431, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 166, 999, 627
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Given numbers are 327, 420, 431, 448
The greatest common divisor of numbers 327, 420, 431, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 420, 431, 448 is 1.

1. What is the GCD of 327, 420, 431, 448?

GCD of given numbers 327, 420, 431, 448 is 1

2. How to calculate the greatest common divisor of 327, 420, 431, 448?

We can find the highest common divisor of 327, 420, 431, 448 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 327, 420, 431, 448 i.e 1.

3. How can I use the GCD of 327, 420, 431, 448Calculator?

Out the numbers 327, 420, 431, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.