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GCD of 192, 692, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 192, 692, 48 quickly. Get the easiest ways to solve the greatest common divisor of 192, 692, 48 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 192, 692, 48 with Factoring?

Given Input numbers are 192, 692, 48

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

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (192, 692, 48) = 4.

Find GCD of 192, 692, 48 using Prime Factorization

Given numbers are 192, 692, 48

The list of prime factors of all numbers are

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 692 are 2 x 2 x 173

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 22

Therefore, GCD of 192, 692, 48 is 4.

Steps to Calculate GCD of 192, 692, 48 using LCM Formula

Given numbers are 192, 692, 48

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

Apply this formula for all numbers.

Step1:

LCM(192, 692) = 33216

GCD(192, 692) = ( 192 x 692 ) / 33216

= 192 / 692

= 192


Step2:

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

= 4 / 48

= 4


So, Greatest Common Divisor of 192, 692, 48 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 192, 692, 48

Given numbers are 192, 692, 48
The greatest common divisor of numbers 192, 692, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 192, 692, 48 is 4.

FAQs on GCD of 192, 692, 48 Calculator

1. What is the GCD of 192, 692, 48?

GCD of given numbers 192, 692, 48 is 4


2. How to calculate the greatest common divisor of 192, 692, 48?

We can find the highest common divisor of 192, 692, 48 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 192, 692, 48 i.e 4.


3. How can I use the GCD of 192, 692, 48Calculator?

Out the numbers 192, 692, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.