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GCD of 342, 609, 216, 962 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, 609, 216, 962 quickly. Get the easiest ways to solve the greatest common divisor of 342, 609, 216, 962 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 609, 216, 962 with Factoring?

Given Input numbers are 342, 609, 216, 962

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 609 :

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

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962


GCD of numbers is the greatest common divisor

So, the GCD (342, 609, 216, 962) = 1.

Find GCD of 342, 609, 216, 962 using Prime Factorization

Given numbers are 342, 609, 216, 962

The list of prime factors of all numbers are

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

Prime factors of 609 are 3 x 7 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 962 are 2 x 13 x 37

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

Steps to Calculate GCD of 342, 609, 216, 962 using LCM Formula

Given numbers are 342, 609, 216, 962

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

Apply this formula for all numbers.

Step1:

LCM(342, 609) = 69426

GCD(342, 609) = ( 342 x 609 ) / 69426

= 342 / 609

= 342


Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3


Step3:

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

= 3 / 962

= 3


So, Greatest Common Divisor of 342, 609, 216, 962 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 609, 216, 962

Given numbers are 342, 609, 216, 962
The greatest common divisor of numbers 342, 609, 216, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 609, 216, 962 is 1.

FAQs on GCD of 342, 609, 216, 962 Calculator

1. What is the GCD of 342, 609, 216, 962?

GCD of given numbers 342, 609, 216, 962 is 1


2. How to calculate the greatest common divisor of 342, 609, 216, 962?

We can find the highest common divisor of 342, 609, 216, 962 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, 609, 216, 962 i.e 1.


3. How can I use the GCD of 342, 609, 216, 962Calculator?

Out the numbers 342, 609, 216, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.