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GCD of 492, 662, 742, 622 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 662, 742, 622 quickly. Get the easiest ways to solve the greatest common divisor of 492, 662, 742, 622 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 662, 742, 622 with Factoring?

Given Input numbers are 492, 662, 742, 622

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622


GCD of numbers is the greatest common divisor

So, the GCD (492, 662, 742, 622) = 2.

Find GCD of 492, 662, 742, 622 using Prime Factorization

Given numbers are 492, 662, 742, 622

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 662 are 2 x 331

Prime factors of 742 are 2 x 7 x 53

Prime factors of 622 are 2 x 311

The highest common occurrence is 21

Therefore, GCD of 492, 662, 742, 622 is 2.

Steps to Calculate GCD of 492, 662, 742, 622 using LCM Formula

Given numbers are 492, 662, 742, 622

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

Apply this formula for all numbers.

Step1:

LCM(492, 662) = 162852

GCD(492, 662) = ( 492 x 662 ) / 162852

= 492 / 662

= 492


Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2


Step3:

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

= 2 / 622

= 2


So, Greatest Common Divisor of 492, 662, 742, 622 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 662, 742, 622

Given numbers are 492, 662, 742, 622
The greatest common divisor of numbers 492, 662, 742, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 662, 742, 622 is 2.

FAQs on GCD of 492, 662, 742, 622 Calculator

1. What is the GCD of 492, 662, 742, 622?

GCD of given numbers 492, 662, 742, 622 is 2


2. How to calculate the greatest common divisor of 492, 662, 742, 622?

We can find the highest common divisor of 492, 662, 742, 622 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 492, 662, 742, 622 i.e 2.


3. How can I use the GCD of 492, 662, 742, 622Calculator?

Out the numbers 492, 662, 742, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.