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GCD of 768, 134, 492, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 768, 134, 492, 996 quickly. Get the easiest ways to solve the greatest common divisor of 768, 134, 492, 996 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 768, 134, 492, 996 with Factoring?

Given Input numbers are 768, 134, 492, 996

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

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996


GCD of numbers is the greatest common divisor

So, the GCD (768, 134, 492, 996) = 2.

Find GCD of 768, 134, 492, 996 using Prime Factorization

Given numbers are 768, 134, 492, 996

The list of prime factors of all numbers are

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

Prime factors of 134 are 2 x 67

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 21

Therefore, GCD of 768, 134, 492, 996 is 2.

Steps to Calculate GCD of 768, 134, 492, 996 using LCM Formula

Given numbers are 768, 134, 492, 996

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

Apply this formula for all numbers.

Step1:

LCM(768, 134) = 51456

GCD(768, 134) = ( 768 x 134 ) / 51456

= 768 / 134

= 768


Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2


Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2


So, Greatest Common Divisor of 768, 134, 492, 996 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 768, 134, 492, 996

Given numbers are 768, 134, 492, 996
The greatest common divisor of numbers 768, 134, 492, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 134, 492, 996 is 2.

FAQs on GCD of 768, 134, 492, 996 Calculator

1. What is the GCD of 768, 134, 492, 996?

GCD of given numbers 768, 134, 492, 996 is 2


2. How to calculate the greatest common divisor of 768, 134, 492, 996?

We can find the highest common divisor of 768, 134, 492, 996 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 768, 134, 492, 996 i.e 2.


3. How can I use the GCD of 768, 134, 492, 996Calculator?

Out the numbers 768, 134, 492, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.