GCD of 512, 422, 448 Calculator

Given Input numbers are 512, 422, 448

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 (512, 422, 448) = 2.

Given numbers are 512, 422, 448

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 422 are 2 x 211

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 512, 422, 448 is 2.

Given numbers are 512, 422, 448

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

Apply this formula for all numbers.

Step1:

LCM(512, 422) = 108032

GCD(512, 422) = ( 512 x 422 ) / 108032

= 512 / 422

= 512

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 512, 422, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 284, 647
• GCD of 931, 134, 874
• GCD of 110, 651, 575
• GCD of 157, 748, 216
• GCD of 861, 501, 307

Given numbers are 512, 422, 448
The greatest common divisor of numbers 512, 422, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 422, 448 is 2.

1. What is the GCD of 512, 422, 448?

GCD of given numbers 512, 422, 448 is 2

2. How to calculate the greatest common divisor of 512, 422, 448?

We can find the highest common divisor of 512, 422, 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 512, 422, 448 i.e 2.

3. How can I use the GCD of 512, 422, 448Calculator?

Out the numbers 512, 422, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.