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GCD of 189, 870, 913, 671 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, 870, 913, 671 quickly. Get the easiest ways to solve the greatest common divisor of 189, 870, 913, 671 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 870, 913, 671 with Factoring?

Given Input numbers are 189, 870, 913, 671

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671


GCD of numbers is the greatest common divisor

So, the GCD (189, 870, 913, 671) = 1.

Find GCD of 189, 870, 913, 671 using Prime Factorization

Given numbers are 189, 870, 913, 671

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 913 are 11 x 83

Prime factors of 671 are 11 x 61

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

Steps to Calculate GCD of 189, 870, 913, 671 using LCM Formula

Given numbers are 189, 870, 913, 671

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

Apply this formula for all numbers.

Step1:

LCM(189, 870) = 54810

GCD(189, 870) = ( 189 x 870 ) / 54810

= 189 / 870

= 189


Step2:

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

= 3 / 913

= 3


Step3:

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

= 1 / 671

= 1


So, Greatest Common Divisor of 189, 870, 913, 671 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 870, 913, 671

Given numbers are 189, 870, 913, 671
The greatest common divisor of numbers 189, 870, 913, 671 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 870, 913, 671 is 1.

FAQs on GCD of 189, 870, 913, 671 Calculator

1. What is the GCD of 189, 870, 913, 671?

GCD of given numbers 189, 870, 913, 671 is 1


2. How to calculate the greatest common divisor of 189, 870, 913, 671?

We can find the highest common divisor of 189, 870, 913, 671 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, 870, 913, 671 i.e 1.


3. How can I use the GCD of 189, 870, 913, 671Calculator?

Out the numbers 189, 870, 913, 671 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.