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GCD of 609, 112, 106, 788 Calculator

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


Online GCD Calculator is useful to find the GCD of 609, 112, 106, 788 quickly. Get the easiest ways to solve the greatest common divisor of 609, 112, 106, 788 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 112, 106, 788 with Factoring?

Given Input numbers are 609, 112, 106, 788

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788


GCD of numbers is the greatest common divisor

So, the GCD (609, 112, 106, 788) = 1.

Find GCD of 609, 112, 106, 788 using Prime Factorization

Given numbers are 609, 112, 106, 788

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 106 are 2 x 53

Prime factors of 788 are 2 x 2 x 197

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 609, 112, 106, 788 using LCM Formula

Given numbers are 609, 112, 106, 788

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

Apply this formula for all numbers.

Step1:

LCM(609, 112) = 9744

GCD(609, 112) = ( 609 x 112 ) / 9744

= 609 / 112

= 609


Step2:

LCM(7, 106) = 742

GCD(7, 106) = ( 7 x 106 ) / 742

= 7 / 106

= 7


Step3:

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

= 1 / 788

= 1


So, Greatest Common Divisor of 609, 112, 106, 788 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 112, 106, 788

Given numbers are 609, 112, 106, 788
The greatest common divisor of numbers 609, 112, 106, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 112, 106, 788 is 1.

FAQs on GCD of 609, 112, 106, 788 Calculator

1. What is the GCD of 609, 112, 106, 788?

GCD of given numbers 609, 112, 106, 788 is 1


2. How to calculate the greatest common divisor of 609, 112, 106, 788?

We can find the highest common divisor of 609, 112, 106, 788 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 609, 112, 106, 788 i.e 1.


3. How can I use the GCD of 609, 112, 106, 788Calculator?

Out the numbers 609, 112, 106, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.