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GCD of 189, 327, 802, 758 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, 327, 802, 758 quickly. Get the easiest ways to solve the greatest common divisor of 189, 327, 802, 758 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 327, 802, 758 with Factoring?

Given Input numbers are 189, 327, 802, 758

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 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758


GCD of numbers is the greatest common divisor

So, the GCD (189, 327, 802, 758) = 1.

Find GCD of 189, 327, 802, 758 using Prime Factorization

Given numbers are 189, 327, 802, 758

The list of prime factors of all numbers are

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

Prime factors of 327 are 3 x 109

Prime factors of 802 are 2 x 401

Prime factors of 758 are 2 x 379

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

Steps to Calculate GCD of 189, 327, 802, 758 using LCM Formula

Given numbers are 189, 327, 802, 758

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

Apply this formula for all numbers.

Step1:

LCM(189, 327) = 20601

GCD(189, 327) = ( 189 x 327 ) / 20601

= 189 / 327

= 189


Step2:

LCM(3, 802) = 2406

GCD(3, 802) = ( 3 x 802 ) / 2406

= 3 / 802

= 3


Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1


So, Greatest Common Divisor of 189, 327, 802, 758 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 327, 802, 758

Given numbers are 189, 327, 802, 758
The greatest common divisor of numbers 189, 327, 802, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 327, 802, 758 is 1.

FAQs on GCD of 189, 327, 802, 758 Calculator

1. What is the GCD of 189, 327, 802, 758?

GCD of given numbers 189, 327, 802, 758 is 1


2. How to calculate the greatest common divisor of 189, 327, 802, 758?

We can find the highest common divisor of 189, 327, 802, 758 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, 327, 802, 758 i.e 1.


3. How can I use the GCD of 189, 327, 802, 758Calculator?

Out the numbers 189, 327, 802, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.