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GCD of 150, 189, 604, 851 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 189, 604, 851 quickly. Get the easiest ways to solve the greatest common divisor of 150, 189, 604, 851 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 189, 604, 851 with Factoring?

Given Input numbers are 150, 189, 604, 851

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 189 :

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

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851


GCD of numbers is the greatest common divisor

So, the GCD (150, 189, 604, 851) = 1.

Find GCD of 150, 189, 604, 851 using Prime Factorization

Given numbers are 150, 189, 604, 851

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

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

Prime factors of 604 are 2 x 2 x 151

Prime factors of 851 are 23 x 37

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

Steps to Calculate GCD of 150, 189, 604, 851 using LCM Formula

Given numbers are 150, 189, 604, 851

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

Apply this formula for all numbers.

Step1:

LCM(150, 189) = 9450

GCD(150, 189) = ( 150 x 189 ) / 9450

= 150 / 189

= 150


Step2:

LCM(3, 604) = 1812

GCD(3, 604) = ( 3 x 604 ) / 1812

= 3 / 604

= 3


Step3:

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

= 1 / 851

= 1


So, Greatest Common Divisor of 150, 189, 604, 851 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 189, 604, 851

Given numbers are 150, 189, 604, 851
The greatest common divisor of numbers 150, 189, 604, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 189, 604, 851 is 1.

FAQs on GCD of 150, 189, 604, 851 Calculator

1. What is the GCD of 150, 189, 604, 851?

GCD of given numbers 150, 189, 604, 851 is 1


2. How to calculate the greatest common divisor of 150, 189, 604, 851?

We can find the highest common divisor of 150, 189, 604, 851 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 150, 189, 604, 851 i.e 1.


3. How can I use the GCD of 150, 189, 604, 851Calculator?

Out the numbers 150, 189, 604, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.