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GCD of 801, 185, 840, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 185, 840, 189 quickly. Get the easiest ways to solve the greatest common divisor of 801, 185, 840, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 185, 840, 189 with Factoring?

Given Input numbers are 801, 185, 840, 189

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 189 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (801, 185, 840, 189) = 1.

Find GCD of 801, 185, 840, 189 using Prime Factorization

Given numbers are 801, 185, 840, 189

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 185 are 5 x 37

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

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

Steps to Calculate GCD of 801, 185, 840, 189 using LCM Formula

Given numbers are 801, 185, 840, 189

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

Apply this formula for all numbers.

Step1:

LCM(801, 185) = 148185

GCD(801, 185) = ( 801 x 185 ) / 148185

= 801 / 185

= 801


Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 801, 185, 840, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 185, 840, 189

Given numbers are 801, 185, 840, 189
The greatest common divisor of numbers 801, 185, 840, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 185, 840, 189 is 1.

FAQs on GCD of 801, 185, 840, 189 Calculator

1. What is the GCD of 801, 185, 840, 189?

GCD of given numbers 801, 185, 840, 189 is 1


2. How to calculate the greatest common divisor of 801, 185, 840, 189?

We can find the highest common divisor of 801, 185, 840, 189 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 801, 185, 840, 189 i.e 1.


3. How can I use the GCD of 801, 185, 840, 189Calculator?

Out the numbers 801, 185, 840, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.