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GCD of 186, 813, 918, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 186, 813, 918, 147 quickly. Get the easiest ways to solve the greatest common divisor of 186, 813, 918, 147 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 186, 813, 918, 147 with Factoring?

Given Input numbers are 186, 813, 918, 147

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

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (186, 813, 918, 147) = 3.

Find GCD of 186, 813, 918, 147 using Prime Factorization

Given numbers are 186, 813, 918, 147

The list of prime factors of all numbers are

Prime factors of 186 are 2 x 3 x 31

Prime factors of 813 are 3 x 271

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 31

Therefore, GCD of 186, 813, 918, 147 is 3.

Steps to Calculate GCD of 186, 813, 918, 147 using LCM Formula

Given numbers are 186, 813, 918, 147

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

Apply this formula for all numbers.

Step1:

LCM(186, 813) = 50406

GCD(186, 813) = ( 186 x 813 ) / 50406

= 186 / 813

= 186


Step2:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3


Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3


So, Greatest Common Divisor of 186, 813, 918, 147 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 186, 813, 918, 147

Given numbers are 186, 813, 918, 147
The greatest common divisor of numbers 186, 813, 918, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 813, 918, 147 is 3.

FAQs on GCD of 186, 813, 918, 147 Calculator

1. What is the GCD of 186, 813, 918, 147?

GCD of given numbers 186, 813, 918, 147 is 3


2. How to calculate the greatest common divisor of 186, 813, 918, 147?

We can find the highest common divisor of 186, 813, 918, 147 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 186, 813, 918, 147 i.e 3.


3. How can I use the GCD of 186, 813, 918, 147Calculator?

Out the numbers 186, 813, 918, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.