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GCD of 612, 712, 304, 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 612, 712, 304, 672 quickly. Get the easiest ways to solve the greatest common divisor of 612, 712, 304, 672 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 712, 304, 672 with Factoring?

Given Input numbers are 612, 712, 304, 672

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 (612, 712, 304, 672) = 4.

Find GCD of 612, 712, 304, 672 using Prime Factorization

Given numbers are 612, 712, 304, 672

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 304 are 2 x 2 x 2 x 2 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 612, 712, 304, 672 is 4.

Steps to Calculate GCD of 612, 712, 304, 672 using LCM Formula

Given numbers are 612, 712, 304, 672

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

Apply this formula for all numbers.

Step1:

LCM(612, 712) = 108936

GCD(612, 712) = ( 612 x 712 ) / 108936

= 612 / 712

= 612


Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4


Step3:

LCM(4, 672) = 672

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

= 4 / 672

= 4


So, Greatest Common Divisor of 612, 712, 304, 672 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 712, 304, 672

Given numbers are 612, 712, 304, 672
The greatest common divisor of numbers 612, 712, 304, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 712, 304, 672 is 4.

FAQs on GCD of 612, 712, 304, 672 Calculator

1. What is the GCD of 612, 712, 304, 672?

GCD of given numbers 612, 712, 304, 672 is 4


2. How to calculate the greatest common divisor of 612, 712, 304, 672?

We can find the highest common divisor of 612, 712, 304, 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 612, 712, 304, 672 i.e 4.


3. How can I use the GCD of 612, 712, 304, 672Calculator?

Out the numbers 612, 712, 304, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.