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GCD of 340, 162, 102 Calculator

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


Online GCD Calculator is useful to find the GCD of 340, 162, 102 quickly. Get the easiest ways to solve the greatest common divisor of 340, 162, 102 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 162, 102 with Factoring?

Given Input numbers are 340, 162, 102

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102


GCD of numbers is the greatest common divisor

So, the GCD (340, 162, 102) = 2.

Find GCD of 340, 162, 102 using Prime Factorization

Given numbers are 340, 162, 102

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 340, 162, 102 is 2.

Steps to Calculate GCD of 340, 162, 102 using LCM Formula

Given numbers are 340, 162, 102

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

Apply this formula for all numbers.

Step1:

LCM(340, 162) = 27540

GCD(340, 162) = ( 340 x 162 ) / 27540

= 340 / 162

= 340


Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2


So, Greatest Common Divisor of 340, 162, 102 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 162, 102

Given numbers are 340, 162, 102
The greatest common divisor of numbers 340, 162, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 162, 102 is 2.

FAQs on GCD of 340, 162, 102 Calculator

1. What is the GCD of 340, 162, 102?

GCD of given numbers 340, 162, 102 is 2


2. How to calculate the greatest common divisor of 340, 162, 102?

We can find the highest common divisor of 340, 162, 102 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 340, 162, 102 i.e 2.


3. How can I use the GCD of 340, 162, 102Calculator?

Out the numbers 340, 162, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.