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GCD of 300, 248, 512, 159 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 300, 248, 512, 159 quickly. Get the easiest ways to solve the greatest common divisor of 300, 248, 512, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 300, 248, 512, 159 with Factoring?

Given Input numbers are 300, 248, 512, 159

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (300, 248, 512, 159) = 1.

Find GCD of 300, 248, 512, 159 using Prime Factorization

Given numbers are 300, 248, 512, 159

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 248 are 2 x 2 x 2 x 31

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 159 are 3 x 53

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

Steps to Calculate GCD of 300, 248, 512, 159 using LCM Formula

Given numbers are 300, 248, 512, 159

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

Apply this formula for all numbers.

Step1:

LCM(300, 248) = 18600

GCD(300, 248) = ( 300 x 248 ) / 18600

= 300 / 248

= 300


Step2:

LCM(4, 512) = 512

GCD(4, 512) = ( 4 x 512 ) / 512

= 4 / 512

= 4


Step3:

LCM(4, 159) = 636

GCD(4, 159) = ( 4 x 159 ) / 636

= 4 / 159

= 4


So, Greatest Common Divisor of 300, 248, 512, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 300, 248, 512, 159

Given numbers are 300, 248, 512, 159
The greatest common divisor of numbers 300, 248, 512, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 248, 512, 159 is 1.

FAQs on GCD of 300, 248, 512, 159 Calculator

1. What is the GCD of 300, 248, 512, 159?

GCD of given numbers 300, 248, 512, 159 is 1


2. How to calculate the greatest common divisor of 300, 248, 512, 159?

We can find the highest common divisor of 300, 248, 512, 159 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 300, 248, 512, 159 i.e 1.


3. How can I use the GCD of 300, 248, 512, 159Calculator?

Out the numbers 300, 248, 512, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.