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GCD of 342, 495, 743, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 495, 743, 508 quickly. Get the easiest ways to solve the greatest common divisor of 342, 495, 743, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 495, 743, 508 with Factoring?

Given Input numbers are 342, 495, 743, 508

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (342, 495, 743, 508) = 1.

Find GCD of 342, 495, 743, 508 using Prime Factorization

Given numbers are 342, 495, 743, 508

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 743 are 743

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 342, 495, 743, 508 using LCM Formula

Given numbers are 342, 495, 743, 508

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

Apply this formula for all numbers.

Step1:

LCM(342, 495) = 18810

GCD(342, 495) = ( 342 x 495 ) / 18810

= 342 / 495

= 342


Step2:

LCM(9, 743) = 6687

GCD(9, 743) = ( 9 x 743 ) / 6687

= 9 / 743

= 9


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 342, 495, 743, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 495, 743, 508

Given numbers are 342, 495, 743, 508
The greatest common divisor of numbers 342, 495, 743, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 495, 743, 508 is 1.

FAQs on GCD of 342, 495, 743, 508 Calculator

1. What is the GCD of 342, 495, 743, 508?

GCD of given numbers 342, 495, 743, 508 is 1


2. How to calculate the greatest common divisor of 342, 495, 743, 508?

We can find the highest common divisor of 342, 495, 743, 508 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 342, 495, 743, 508 i.e 1.


3. How can I use the GCD of 342, 495, 743, 508Calculator?

Out the numbers 342, 495, 743, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.