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GCD of 180, 199, 469, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 199, 469, 989 quickly. Get the easiest ways to solve the greatest common divisor of 180, 199, 469, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 199, 469, 989 with Factoring?

Given Input numbers are 180, 199, 469, 989

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (180, 199, 469, 989) = 1.

Find GCD of 180, 199, 469, 989 using Prime Factorization

Given numbers are 180, 199, 469, 989

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 199 are 199

Prime factors of 469 are 7 x 67

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 180, 199, 469, 989 using LCM Formula

Given numbers are 180, 199, 469, 989

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

Apply this formula for all numbers.

Step1:

LCM(180, 199) = 35820

GCD(180, 199) = ( 180 x 199 ) / 35820

= 180 / 199

= 180


Step2:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1


Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


So, Greatest Common Divisor of 180, 199, 469, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 199, 469, 989

Given numbers are 180, 199, 469, 989
The greatest common divisor of numbers 180, 199, 469, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 199, 469, 989 is 1.

FAQs on GCD of 180, 199, 469, 989 Calculator

1. What is the GCD of 180, 199, 469, 989?

GCD of given numbers 180, 199, 469, 989 is 1


2. How to calculate the greatest common divisor of 180, 199, 469, 989?

We can find the highest common divisor of 180, 199, 469, 989 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 180, 199, 469, 989 i.e 1.


3. How can I use the GCD of 180, 199, 469, 989Calculator?

Out the numbers 180, 199, 469, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.