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GCD of 189, 285, 753, 755 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, 285, 753, 755 quickly. Get the easiest ways to solve the greatest common divisor of 189, 285, 753, 755 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 285, 753, 755 with Factoring?

Given Input numbers are 189, 285, 753, 755

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 755 :

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

1, 5, 151, 755


GCD of numbers is the greatest common divisor

So, the GCD (189, 285, 753, 755) = 1.

Find GCD of 189, 285, 753, 755 using Prime Factorization

Given numbers are 189, 285, 753, 755

The list of prime factors of all numbers are

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

Prime factors of 285 are 3 x 5 x 19

Prime factors of 753 are 3 x 251

Prime factors of 755 are 5 x 151

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

Steps to Calculate GCD of 189, 285, 753, 755 using LCM Formula

Given numbers are 189, 285, 753, 755

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

Apply this formula for all numbers.

Step1:

LCM(189, 285) = 17955

GCD(189, 285) = ( 189 x 285 ) / 17955

= 189 / 285

= 189


Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3


Step3:

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

= 3 / 755

= 3


So, Greatest Common Divisor of 189, 285, 753, 755 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 285, 753, 755

Given numbers are 189, 285, 753, 755
The greatest common divisor of numbers 189, 285, 753, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 285, 753, 755 is 1.

FAQs on GCD of 189, 285, 753, 755 Calculator

1. What is the GCD of 189, 285, 753, 755?

GCD of given numbers 189, 285, 753, 755 is 1


2. How to calculate the greatest common divisor of 189, 285, 753, 755?

We can find the highest common divisor of 189, 285, 753, 755 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, 285, 753, 755 i.e 1.


3. How can I use the GCD of 189, 285, 753, 755Calculator?

Out the numbers 189, 285, 753, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.