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GCD of 872, 445, 392, 446 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 445, 392, 446 quickly. Get the easiest ways to solve the greatest common divisor of 872, 445, 392, 446 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 445, 392, 446 with Factoring?

Given Input numbers are 872, 445, 392, 446

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

Divisors of 872 :

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

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

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446


GCD of numbers is the greatest common divisor

So, the GCD (872, 445, 392, 446) = 1.

Find GCD of 872, 445, 392, 446 using Prime Factorization

Given numbers are 872, 445, 392, 446

The list of prime factors of all numbers are

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

Prime factors of 445 are 5 x 89

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 446 are 2 x 223

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

Steps to Calculate GCD of 872, 445, 392, 446 using LCM Formula

Given numbers are 872, 445, 392, 446

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

Apply this formula for all numbers.

Step1:

LCM(872, 445) = 388040

GCD(872, 445) = ( 872 x 445 ) / 388040

= 872 / 445

= 872


Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1


Step3:

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

= 1 / 446

= 1


So, Greatest Common Divisor of 872, 445, 392, 446 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 445, 392, 446

Given numbers are 872, 445, 392, 446
The greatest common divisor of numbers 872, 445, 392, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 445, 392, 446 is 1.

FAQs on GCD of 872, 445, 392, 446 Calculator

1. What is the GCD of 872, 445, 392, 446?

GCD of given numbers 872, 445, 392, 446 is 1


2. How to calculate the greatest common divisor of 872, 445, 392, 446?

We can find the highest common divisor of 872, 445, 392, 446 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 872, 445, 392, 446 i.e 1.


3. How can I use the GCD of 872, 445, 392, 446Calculator?

Out the numbers 872, 445, 392, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.