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GCD of 144, 957, 39, 885 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 957, 39, 885 quickly. Get the easiest ways to solve the greatest common divisor of 144, 957, 39, 885 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 957, 39, 885 with Factoring?

Given Input numbers are 144, 957, 39, 885

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

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 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885


GCD of numbers is the greatest common divisor

So, the GCD (144, 957, 39, 885) = 3.

Find GCD of 144, 957, 39, 885 using Prime Factorization

Given numbers are 144, 957, 39, 885

The list of prime factors of all numbers are

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

Prime factors of 957 are 3 x 11 x 29

Prime factors of 39 are 3 x 13

Prime factors of 885 are 3 x 5 x 59

The highest common occurrence is 31

Therefore, GCD of 144, 957, 39, 885 is 3.

Steps to Calculate GCD of 144, 957, 39, 885 using LCM Formula

Given numbers are 144, 957, 39, 885

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

Apply this formula for all numbers.

Step1:

LCM(144, 957) = 45936

GCD(144, 957) = ( 144 x 957 ) / 45936

= 144 / 957

= 144


Step2:

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

= 3 / 39

= 3


Step3:

LCM(3, 885) = 885

GCD(3, 885) = ( 3 x 885 ) / 885

= 3 / 885

= 3


So, Greatest Common Divisor of 144, 957, 39, 885 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 957, 39, 885

Given numbers are 144, 957, 39, 885
The greatest common divisor of numbers 144, 957, 39, 885 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 957, 39, 885 is 3.

FAQs on GCD of 144, 957, 39, 885 Calculator

1. What is the GCD of 144, 957, 39, 885?

GCD of given numbers 144, 957, 39, 885 is 3


2. How to calculate the greatest common divisor of 144, 957, 39, 885?

We can find the highest common divisor of 144, 957, 39, 885 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 144, 957, 39, 885 i.e 3.


3. How can I use the GCD of 144, 957, 39, 885Calculator?

Out the numbers 144, 957, 39, 885 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.