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GCD of 609, 349, 145, 742 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, 349, 145, 742 quickly. Get the easiest ways to solve the greatest common divisor of 609, 349, 145, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 349, 145, 742 with Factoring?

Given Input numbers are 609, 349, 145, 742

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 742 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (609, 349, 145, 742) = 1.

Find GCD of 609, 349, 145, 742 using Prime Factorization

Given numbers are 609, 349, 145, 742

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 349 are 349

Prime factors of 145 are 5 x 29

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 609, 349, 145, 742 using LCM Formula

Given numbers are 609, 349, 145, 742

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

Apply this formula for all numbers.

Step1:

LCM(609, 349) = 212541

GCD(609, 349) = ( 609 x 349 ) / 212541

= 609 / 349

= 609


Step2:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1


Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1


So, Greatest Common Divisor of 609, 349, 145, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 349, 145, 742

Given numbers are 609, 349, 145, 742
The greatest common divisor of numbers 609, 349, 145, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 349, 145, 742 is 1.

FAQs on GCD of 609, 349, 145, 742 Calculator

1. What is the GCD of 609, 349, 145, 742?

GCD of given numbers 609, 349, 145, 742 is 1


2. How to calculate the greatest common divisor of 609, 349, 145, 742?

We can find the highest common divisor of 609, 349, 145, 742 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, 349, 145, 742 i.e 1.


3. How can I use the GCD of 609, 349, 145, 742Calculator?

Out the numbers 609, 349, 145, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.