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GCD of 744, 537, 96, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 744, 537, 96, 660 quickly. Get the easiest ways to solve the greatest common divisor of 744, 537, 96, 660 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 537, 96, 660 with Factoring?

Given Input numbers are 744, 537, 96, 660

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (744, 537, 96, 660) = 3.

Find GCD of 744, 537, 96, 660 using Prime Factorization

Given numbers are 744, 537, 96, 660

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 537 are 3 x 179

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 31

Therefore, GCD of 744, 537, 96, 660 is 3.

Steps to Calculate GCD of 744, 537, 96, 660 using LCM Formula

Given numbers are 744, 537, 96, 660

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

Apply this formula for all numbers.

Step1:

LCM(744, 537) = 133176

GCD(744, 537) = ( 744 x 537 ) / 133176

= 744 / 537

= 744


Step2:

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

= 3 / 96

= 3


Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3


So, Greatest Common Divisor of 744, 537, 96, 660 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 537, 96, 660

Given numbers are 744, 537, 96, 660
The greatest common divisor of numbers 744, 537, 96, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 537, 96, 660 is 3.

FAQs on GCD of 744, 537, 96, 660 Calculator

1. What is the GCD of 744, 537, 96, 660?

GCD of given numbers 744, 537, 96, 660 is 3


2. How to calculate the greatest common divisor of 744, 537, 96, 660?

We can find the highest common divisor of 744, 537, 96, 660 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 744, 537, 96, 660 i.e 3.


3. How can I use the GCD of 744, 537, 96, 660Calculator?

Out the numbers 744, 537, 96, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.