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GCD of 180, 600, 226, 841 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, 600, 226, 841 quickly. Get the easiest ways to solve the greatest common divisor of 180, 600, 226, 841 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 600, 226, 841 with Factoring?

Given Input numbers are 180, 600, 226, 841

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841


GCD of numbers is the greatest common divisor

So, the GCD (180, 600, 226, 841) = 1.

Find GCD of 180, 600, 226, 841 using Prime Factorization

Given numbers are 180, 600, 226, 841

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 226 are 2 x 113

Prime factors of 841 are 29 x 29

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

Steps to Calculate GCD of 180, 600, 226, 841 using LCM Formula

Given numbers are 180, 600, 226, 841

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

Apply this formula for all numbers.

Step1:

LCM(180, 600) = 1800

GCD(180, 600) = ( 180 x 600 ) / 1800

= 180 / 600

= 180


Step2:

LCM(60, 226) = 6780

GCD(60, 226) = ( 60 x 226 ) / 6780

= 60 / 226

= 60


Step3:

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

= 2 / 841

= 2


So, Greatest Common Divisor of 180, 600, 226, 841 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 600, 226, 841

Given numbers are 180, 600, 226, 841
The greatest common divisor of numbers 180, 600, 226, 841 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 600, 226, 841 is 1.

FAQs on GCD of 180, 600, 226, 841 Calculator

1. What is the GCD of 180, 600, 226, 841?

GCD of given numbers 180, 600, 226, 841 is 1


2. How to calculate the greatest common divisor of 180, 600, 226, 841?

We can find the highest common divisor of 180, 600, 226, 841 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, 600, 226, 841 i.e 1.


3. How can I use the GCD of 180, 600, 226, 841Calculator?

Out the numbers 180, 600, 226, 841 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.