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GCD of 162, 277, 105, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 162, 277, 105, 872 quickly. Get the easiest ways to solve the greatest common divisor of 162, 277, 105, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 162, 277, 105, 872 with Factoring?

Given Input numbers are 162, 277, 105, 872

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

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 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (162, 277, 105, 872) = 1.

Find GCD of 162, 277, 105, 872 using Prime Factorization

Given numbers are 162, 277, 105, 872

The list of prime factors of all numbers are

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

Prime factors of 277 are 277

Prime factors of 105 are 3 x 5 x 7

Prime factors of 872 are 2 x 2 x 2 x 109

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

Steps to Calculate GCD of 162, 277, 105, 872 using LCM Formula

Given numbers are 162, 277, 105, 872

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

Apply this formula for all numbers.

Step1:

LCM(162, 277) = 44874

GCD(162, 277) = ( 162 x 277 ) / 44874

= 162 / 277

= 162


Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 162, 277, 105, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 162, 277, 105, 872

Given numbers are 162, 277, 105, 872
The greatest common divisor of numbers 162, 277, 105, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 277, 105, 872 is 1.

FAQs on GCD of 162, 277, 105, 872 Calculator

1. What is the GCD of 162, 277, 105, 872?

GCD of given numbers 162, 277, 105, 872 is 1


2. How to calculate the greatest common divisor of 162, 277, 105, 872?

We can find the highest common divisor of 162, 277, 105, 872 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 162, 277, 105, 872 i.e 1.


3. How can I use the GCD of 162, 277, 105, 872Calculator?

Out the numbers 162, 277, 105, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.