GCD of 238, 348, 851, 512 Calculator

Given Input numbers are 238, 348, 851, 512

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 512 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (238, 348, 851, 512) = 1.

Given numbers are 238, 348, 851, 512

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 851 are 23 x 37

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

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

Given numbers are 238, 348, 851, 512

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

Apply this formula for all numbers.

Step1:

LCM(238, 348) = 41412

GCD(238, 348) = ( 238 x 348 ) / 41412

= 238 / 348

= 238

Step2:

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

= 2 / 851

= 2

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 238, 348, 851, 512 is 1

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Given numbers are 238, 348, 851, 512
The greatest common divisor of numbers 238, 348, 851, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 348, 851, 512 is 1.

1. What is the GCD of 238, 348, 851, 512?

GCD of given numbers 238, 348, 851, 512 is 1

2. How to calculate the greatest common divisor of 238, 348, 851, 512?

We can find the highest common divisor of 238, 348, 851, 512 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 238, 348, 851, 512 i.e 1.

3. How can I use the GCD of 238, 348, 851, 512Calculator?

Out the numbers 238, 348, 851, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.