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GCD of 522, 144, 120, 943 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 144, 120, 943 quickly. Get the easiest ways to solve the greatest common divisor of 522, 144, 120, 943 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 144, 120, 943 with Factoring?

Given Input numbers are 522, 144, 120, 943

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 943 :

The positive integer divisors of 943 that completely divides 943 are.

1, 23, 41, 943


GCD of numbers is the greatest common divisor

So, the GCD (522, 144, 120, 943) = 1.

Find GCD of 522, 144, 120, 943 using Prime Factorization

Given numbers are 522, 144, 120, 943

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 943 are 23 x 41

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

Steps to Calculate GCD of 522, 144, 120, 943 using LCM Formula

Given numbers are 522, 144, 120, 943

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

Apply this formula for all numbers.

Step1:

LCM(522, 144) = 4176

GCD(522, 144) = ( 522 x 144 ) / 4176

= 522 / 144

= 522


Step2:

LCM(18, 120) = 360

GCD(18, 120) = ( 18 x 120 ) / 360

= 18 / 120

= 18


Step3:

LCM(6, 943) = 5658

GCD(6, 943) = ( 6 x 943 ) / 5658

= 6 / 943

= 6


So, Greatest Common Divisor of 522, 144, 120, 943 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 144, 120, 943

Given numbers are 522, 144, 120, 943
The greatest common divisor of numbers 522, 144, 120, 943 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 144, 120, 943 is 1.

FAQs on GCD of 522, 144, 120, 943 Calculator

1. What is the GCD of 522, 144, 120, 943?

GCD of given numbers 522, 144, 120, 943 is 1


2. How to calculate the greatest common divisor of 522, 144, 120, 943?

We can find the highest common divisor of 522, 144, 120, 943 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 522, 144, 120, 943 i.e 1.


3. How can I use the GCD of 522, 144, 120, 943Calculator?

Out the numbers 522, 144, 120, 943 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.