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GCD of 628, 744, 992, 442 Calculator

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


Online GCD Calculator is useful to find the GCD of 628, 744, 992, 442 quickly. Get the easiest ways to solve the greatest common divisor of 628, 744, 992, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 744, 992, 442 with Factoring?

Given Input numbers are 628, 744, 992, 442

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 442 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (628, 744, 992, 442) = 2.

Find GCD of 628, 744, 992, 442 using Prime Factorization

Given numbers are 628, 744, 992, 442

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 628, 744, 992, 442 is 2.

Steps to Calculate GCD of 628, 744, 992, 442 using LCM Formula

Given numbers are 628, 744, 992, 442

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

Apply this formula for all numbers.

Step1:

LCM(628, 744) = 116808

GCD(628, 744) = ( 628 x 744 ) / 116808

= 628 / 744

= 628


Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4


Step3:

LCM(4, 442) = 884

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

= 4 / 442

= 4


So, Greatest Common Divisor of 628, 744, 992, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 744, 992, 442

Given numbers are 628, 744, 992, 442
The greatest common divisor of numbers 628, 744, 992, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 744, 992, 442 is 2.

FAQs on GCD of 628, 744, 992, 442 Calculator

1. What is the GCD of 628, 744, 992, 442?

GCD of given numbers 628, 744, 992, 442 is 2


2. How to calculate the greatest common divisor of 628, 744, 992, 442?

We can find the highest common divisor of 628, 744, 992, 442 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 628, 744, 992, 442 i.e 2.


3. How can I use the GCD of 628, 744, 992, 442Calculator?

Out the numbers 628, 744, 992, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.