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GCD of 194, 345, 642, 165 Calculator

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


Online GCD Calculator is useful to find the GCD of 194, 345, 642, 165 quickly. Get the easiest ways to solve the greatest common divisor of 194, 345, 642, 165 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 194, 345, 642, 165 with Factoring?

Given Input numbers are 194, 345, 642, 165

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

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165


GCD of numbers is the greatest common divisor

So, the GCD (194, 345, 642, 165) = 1.

Find GCD of 194, 345, 642, 165 using Prime Factorization

Given numbers are 194, 345, 642, 165

The list of prime factors of all numbers are

Prime factors of 194 are 2 x 97

Prime factors of 345 are 3 x 5 x 23

Prime factors of 642 are 2 x 3 x 107

Prime factors of 165 are 3 x 5 x 11

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

Steps to Calculate GCD of 194, 345, 642, 165 using LCM Formula

Given numbers are 194, 345, 642, 165

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

Apply this formula for all numbers.

Step1:

LCM(194, 345) = 66930

GCD(194, 345) = ( 194 x 345 ) / 66930

= 194 / 345

= 194


Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1


Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


So, Greatest Common Divisor of 194, 345, 642, 165 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 194, 345, 642, 165

Given numbers are 194, 345, 642, 165
The greatest common divisor of numbers 194, 345, 642, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 194, 345, 642, 165 is 1.

FAQs on GCD of 194, 345, 642, 165 Calculator

1. What is the GCD of 194, 345, 642, 165?

GCD of given numbers 194, 345, 642, 165 is 1


2. How to calculate the greatest common divisor of 194, 345, 642, 165?

We can find the highest common divisor of 194, 345, 642, 165 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 194, 345, 642, 165 i.e 1.


3. How can I use the GCD of 194, 345, 642, 165Calculator?

Out the numbers 194, 345, 642, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.