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GCD of 134, 382, 768 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 382, 768 quickly. Get the easiest ways to solve the greatest common divisor of 134, 382, 768 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 382, 768 with Factoring?

Given Input numbers are 134, 382, 768

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (134, 382, 768) = 2.

Find GCD of 134, 382, 768 using Prime Factorization

Given numbers are 134, 382, 768

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 382 are 2 x 191

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 134, 382, 768 is 2.

Steps to Calculate GCD of 134, 382, 768 using LCM Formula

Given numbers are 134, 382, 768

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

Apply this formula for all numbers.

Step1:

LCM(134, 382) = 25594

GCD(134, 382) = ( 134 x 382 ) / 25594

= 134 / 382

= 134


Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2


So, Greatest Common Divisor of 134, 382, 768 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 382, 768

Given numbers are 134, 382, 768
The greatest common divisor of numbers 134, 382, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 382, 768 is 2.

FAQs on GCD of 134, 382, 768 Calculator

1. What is the GCD of 134, 382, 768?

GCD of given numbers 134, 382, 768 is 2


2. How to calculate the greatest common divisor of 134, 382, 768?

We can find the highest common divisor of 134, 382, 768 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 134, 382, 768 i.e 2.


3. How can I use the GCD of 134, 382, 768Calculator?

Out the numbers 134, 382, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.