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GCD of 224, 656, 532, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 224, 656, 532, 672 quickly. Get the easiest ways to solve the greatest common divisor of 224, 656, 532, 672 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 224, 656, 532, 672 with Factoring?

Given Input numbers are 224, 656, 532, 672

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 656 :

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

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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


GCD of numbers is the greatest common divisor

So, the GCD (224, 656, 532, 672) = 4.

Find GCD of 224, 656, 532, 672 using Prime Factorization

Given numbers are 224, 656, 532, 672

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 532 are 2 x 2 x 7 x 19

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

The highest common occurrence is 22

Therefore, GCD of 224, 656, 532, 672 is 4.

Steps to Calculate GCD of 224, 656, 532, 672 using LCM Formula

Given numbers are 224, 656, 532, 672

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

Apply this formula for all numbers.

Step1:

LCM(224, 656) = 9184

GCD(224, 656) = ( 224 x 656 ) / 9184

= 224 / 656

= 224


Step2:

LCM(16, 532) = 2128

GCD(16, 532) = ( 16 x 532 ) / 2128

= 16 / 532

= 16


Step3:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4


So, Greatest Common Divisor of 224, 656, 532, 672 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 224, 656, 532, 672

Given numbers are 224, 656, 532, 672
The greatest common divisor of numbers 224, 656, 532, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 656, 532, 672 is 4.

FAQs on GCD of 224, 656, 532, 672 Calculator

1. What is the GCD of 224, 656, 532, 672?

GCD of given numbers 224, 656, 532, 672 is 4


2. How to calculate the greatest common divisor of 224, 656, 532, 672?

We can find the highest common divisor of 224, 656, 532, 672 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 224, 656, 532, 672 i.e 4.


3. How can I use the GCD of 224, 656, 532, 672Calculator?

Out the numbers 224, 656, 532, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.