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GCD of 924, 147, 243, 606 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 147, 243, 606 quickly. Get the easiest ways to solve the greatest common divisor of 924, 147, 243, 606 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 147, 243, 606 with Factoring?

Given Input numbers are 924, 147, 243, 606

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606


GCD of numbers is the greatest common divisor

So, the GCD (924, 147, 243, 606) = 3.

Find GCD of 924, 147, 243, 606 using Prime Factorization

Given numbers are 924, 147, 243, 606

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 147 are 3 x 7 x 7

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 31

Therefore, GCD of 924, 147, 243, 606 is 3.

Steps to Calculate GCD of 924, 147, 243, 606 using LCM Formula

Given numbers are 924, 147, 243, 606

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

Apply this formula for all numbers.

Step1:

LCM(924, 147) = 6468

GCD(924, 147) = ( 924 x 147 ) / 6468

= 924 / 147

= 924


Step2:

LCM(21, 243) = 1701

GCD(21, 243) = ( 21 x 243 ) / 1701

= 21 / 243

= 21


Step3:

LCM(3, 606) = 606

GCD(3, 606) = ( 3 x 606 ) / 606

= 3 / 606

= 3


So, Greatest Common Divisor of 924, 147, 243, 606 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 147, 243, 606

Given numbers are 924, 147, 243, 606
The greatest common divisor of numbers 924, 147, 243, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 147, 243, 606 is 3.

FAQs on GCD of 924, 147, 243, 606 Calculator

1. What is the GCD of 924, 147, 243, 606?

GCD of given numbers 924, 147, 243, 606 is 3


2. How to calculate the greatest common divisor of 924, 147, 243, 606?

We can find the highest common divisor of 924, 147, 243, 606 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 924, 147, 243, 606 i.e 3.


3. How can I use the GCD of 924, 147, 243, 606Calculator?

Out the numbers 924, 147, 243, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.