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GCD of 612, 968, 442, 744 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, 968, 442, 744 quickly. Get the easiest ways to solve the greatest common divisor of 612, 968, 442, 744 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 968, 442, 744 with Factoring?

Given Input numbers are 612, 968, 442, 744

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744


GCD of numbers is the greatest common divisor

So, the GCD (612, 968, 442, 744) = 2.

Find GCD of 612, 968, 442, 744 using Prime Factorization

Given numbers are 612, 968, 442, 744

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 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 442 are 2 x 13 x 17

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 21

Therefore, GCD of 612, 968, 442, 744 is 2.

Steps to Calculate GCD of 612, 968, 442, 744 using LCM Formula

Given numbers are 612, 968, 442, 744

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

Apply this formula for all numbers.

Step1:

LCM(612, 968) = 148104

GCD(612, 968) = ( 612 x 968 ) / 148104

= 612 / 968

= 612


Step2:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4


Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2


So, Greatest Common Divisor of 612, 968, 442, 744 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 968, 442, 744

Given numbers are 612, 968, 442, 744
The greatest common divisor of numbers 612, 968, 442, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 968, 442, 744 is 2.

FAQs on GCD of 612, 968, 442, 744 Calculator

1. What is the GCD of 612, 968, 442, 744?

GCD of given numbers 612, 968, 442, 744 is 2


2. How to calculate the greatest common divisor of 612, 968, 442, 744?

We can find the highest common divisor of 612, 968, 442, 744 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, 968, 442, 744 i.e 2.


3. How can I use the GCD of 612, 968, 442, 744Calculator?

Out the numbers 612, 968, 442, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.