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GCD of 168, 672, 384, 656 Calculator

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


Online GCD Calculator is useful to find the GCD of 168, 672, 384, 656 quickly. Get the easiest ways to solve the greatest common divisor of 168, 672, 384, 656 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 672, 384, 656 with Factoring?

Given Input numbers are 168, 672, 384, 656

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (168, 672, 384, 656) = 8.

Find GCD of 168, 672, 384, 656 using Prime Factorization

Given numbers are 168, 672, 384, 656

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 23

Therefore, GCD of 168, 672, 384, 656 is 8.

Steps to Calculate GCD of 168, 672, 384, 656 using LCM Formula

Given numbers are 168, 672, 384, 656

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

Apply this formula for all numbers.

Step1:

LCM(168, 672) = 672

GCD(168, 672) = ( 168 x 672 ) / 672

= 168 / 672

= 168


Step2:

LCM(168, 384) = 2688

GCD(168, 384) = ( 168 x 384 ) / 2688

= 168 / 384

= 168


Step3:

LCM(24, 656) = 1968

GCD(24, 656) = ( 24 x 656 ) / 1968

= 24 / 656

= 24


So, Greatest Common Divisor of 168, 672, 384, 656 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 672, 384, 656

Given numbers are 168, 672, 384, 656
The greatest common divisor of numbers 168, 672, 384, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 672, 384, 656 is 8.

FAQs on GCD of 168, 672, 384, 656 Calculator

1. What is the GCD of 168, 672, 384, 656?

GCD of given numbers 168, 672, 384, 656 is 8


2. How to calculate the greatest common divisor of 168, 672, 384, 656?

We can find the highest common divisor of 168, 672, 384, 656 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 168, 672, 384, 656 i.e 8.


3. How can I use the GCD of 168, 672, 384, 656Calculator?

Out the numbers 168, 672, 384, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.