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GCD of 865, 189, 101, 106 Calculator

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


Online GCD Calculator is useful to find the GCD of 865, 189, 101, 106 quickly. Get the easiest ways to solve the greatest common divisor of 865, 189, 101, 106 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 865, 189, 101, 106 with Factoring?

Given Input numbers are 865, 189, 101, 106

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106


GCD of numbers is the greatest common divisor

So, the GCD (865, 189, 101, 106) = 1.

Find GCD of 865, 189, 101, 106 using Prime Factorization

Given numbers are 865, 189, 101, 106

The list of prime factors of all numbers are

Prime factors of 865 are 5 x 173

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 101 are 101

Prime factors of 106 are 2 x 53

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

Steps to Calculate GCD of 865, 189, 101, 106 using LCM Formula

Given numbers are 865, 189, 101, 106

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

Apply this formula for all numbers.

Step1:

LCM(865, 189) = 163485

GCD(865, 189) = ( 865 x 189 ) / 163485

= 865 / 189

= 865


Step2:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1


Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1


So, Greatest Common Divisor of 865, 189, 101, 106 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 865, 189, 101, 106

Given numbers are 865, 189, 101, 106
The greatest common divisor of numbers 865, 189, 101, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 865, 189, 101, 106 is 1.

FAQs on GCD of 865, 189, 101, 106 Calculator

1. What is the GCD of 865, 189, 101, 106?

GCD of given numbers 865, 189, 101, 106 is 1


2. How to calculate the greatest common divisor of 865, 189, 101, 106?

We can find the highest common divisor of 865, 189, 101, 106 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 865, 189, 101, 106 i.e 1.


3. How can I use the GCD of 865, 189, 101, 106Calculator?

Out the numbers 865, 189, 101, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.