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GCD of 480, 412, 512, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 412, 512, 136 quickly. Get the easiest ways to solve the greatest common divisor of 480, 412, 512, 136 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 412, 512, 136 with Factoring?

Given Input numbers are 480, 412, 512, 136

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136


GCD of numbers is the greatest common divisor

So, the GCD (480, 412, 512, 136) = 4.

Find GCD of 480, 412, 512, 136 using Prime Factorization

Given numbers are 480, 412, 512, 136

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 412 are 2 x 2 x 103

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 136 are 2 x 2 x 2 x 17

The highest common occurrence is 22

Therefore, GCD of 480, 412, 512, 136 is 4.

Steps to Calculate GCD of 480, 412, 512, 136 using LCM Formula

Given numbers are 480, 412, 512, 136

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

Apply this formula for all numbers.

Step1:

LCM(480, 412) = 49440

GCD(480, 412) = ( 480 x 412 ) / 49440

= 480 / 412

= 480


Step2:

LCM(4, 512) = 512

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

= 4 / 512

= 4


Step3:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4


So, Greatest Common Divisor of 480, 412, 512, 136 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 412, 512, 136

Given numbers are 480, 412, 512, 136
The greatest common divisor of numbers 480, 412, 512, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 412, 512, 136 is 4.

FAQs on GCD of 480, 412, 512, 136 Calculator

1. What is the GCD of 480, 412, 512, 136?

GCD of given numbers 480, 412, 512, 136 is 4


2. How to calculate the greatest common divisor of 480, 412, 512, 136?

We can find the highest common divisor of 480, 412, 512, 136 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 480, 412, 512, 136 i.e 4.


3. How can I use the GCD of 480, 412, 512, 136Calculator?

Out the numbers 480, 412, 512, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.