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GCD of 984, 993, 138, 440 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 993, 138, 440 quickly. Get the easiest ways to solve the greatest common divisor of 984, 993, 138, 440 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 993, 138, 440 with Factoring?

Given Input numbers are 984, 993, 138, 440

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440


GCD of numbers is the greatest common divisor

So, the GCD (984, 993, 138, 440) = 1.

Find GCD of 984, 993, 138, 440 using Prime Factorization

Given numbers are 984, 993, 138, 440

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 993 are 3 x 331

Prime factors of 138 are 2 x 3 x 23

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 984, 993, 138, 440 using LCM Formula

Given numbers are 984, 993, 138, 440

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

Apply this formula for all numbers.

Step1:

LCM(984, 993) = 325704

GCD(984, 993) = ( 984 x 993 ) / 325704

= 984 / 993

= 984


Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3


Step3:

LCM(3, 440) = 1320

GCD(3, 440) = ( 3 x 440 ) / 1320

= 3 / 440

= 3


So, Greatest Common Divisor of 984, 993, 138, 440 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 993, 138, 440

Given numbers are 984, 993, 138, 440
The greatest common divisor of numbers 984, 993, 138, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 993, 138, 440 is 1.

FAQs on GCD of 984, 993, 138, 440 Calculator

1. What is the GCD of 984, 993, 138, 440?

GCD of given numbers 984, 993, 138, 440 is 1


2. How to calculate the greatest common divisor of 984, 993, 138, 440?

We can find the highest common divisor of 984, 993, 138, 440 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 984, 993, 138, 440 i.e 1.


3. How can I use the GCD of 984, 993, 138, 440Calculator?

Out the numbers 984, 993, 138, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.