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GCD of 189, 320, 755, 883 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 320, 755, 883 quickly. Get the easiest ways to solve the greatest common divisor of 189, 320, 755, 883 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 320, 755, 883 with Factoring?

Given Input numbers are 189, 320, 755, 883

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

Divisors of 189 :

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 883 :

The positive integer divisors of 883 that completely divides 883 are.

1, 883


GCD of numbers is the greatest common divisor

So, the GCD (189, 320, 755, 883) = 1.

Find GCD of 189, 320, 755, 883 using Prime Factorization

Given numbers are 189, 320, 755, 883

The list of prime factors of all numbers are

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 755 are 5 x 151

Prime factors of 883 are 883

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

Steps to Calculate GCD of 189, 320, 755, 883 using LCM Formula

Given numbers are 189, 320, 755, 883

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

Apply this formula for all numbers.

Step1:

LCM(189, 320) = 60480

GCD(189, 320) = ( 189 x 320 ) / 60480

= 189 / 320

= 189


Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1


Step3:

LCM(1, 883) = 883

GCD(1, 883) = ( 1 x 883 ) / 883

= 1 / 883

= 1


So, Greatest Common Divisor of 189, 320, 755, 883 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 320, 755, 883

Given numbers are 189, 320, 755, 883
The greatest common divisor of numbers 189, 320, 755, 883 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 320, 755, 883 is 1.

FAQs on GCD of 189, 320, 755, 883 Calculator

1. What is the GCD of 189, 320, 755, 883?

GCD of given numbers 189, 320, 755, 883 is 1


2. How to calculate the greatest common divisor of 189, 320, 755, 883?

We can find the highest common divisor of 189, 320, 755, 883 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 189, 320, 755, 883 i.e 1.


3. How can I use the GCD of 189, 320, 755, 883Calculator?

Out the numbers 189, 320, 755, 883 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.