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GCD of 472, 212, 909, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 212, 909, 842 quickly. Get the easiest ways to solve the greatest common divisor of 472, 212, 909, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 212, 909, 842 with Factoring?

Given Input numbers are 472, 212, 909, 842

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (472, 212, 909, 842) = 1.

Find GCD of 472, 212, 909, 842 using Prime Factorization

Given numbers are 472, 212, 909, 842

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 212 are 2 x 2 x 53

Prime factors of 909 are 3 x 3 x 101

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 472, 212, 909, 842 using LCM Formula

Given numbers are 472, 212, 909, 842

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

Apply this formula for all numbers.

Step1:

LCM(472, 212) = 25016

GCD(472, 212) = ( 472 x 212 ) / 25016

= 472 / 212

= 472


Step2:

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

= 4 / 909

= 4


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 472, 212, 909, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 212, 909, 842

Given numbers are 472, 212, 909, 842
The greatest common divisor of numbers 472, 212, 909, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 212, 909, 842 is 1.

FAQs on GCD of 472, 212, 909, 842 Calculator

1. What is the GCD of 472, 212, 909, 842?

GCD of given numbers 472, 212, 909, 842 is 1


2. How to calculate the greatest common divisor of 472, 212, 909, 842?

We can find the highest common divisor of 472, 212, 909, 842 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 472, 212, 909, 842 i.e 1.


3. How can I use the GCD of 472, 212, 909, 842Calculator?

Out the numbers 472, 212, 909, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.