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GCD of 744, 945, 329, 720 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, 945, 329, 720 quickly. Get the easiest ways to solve the greatest common divisor of 744, 945, 329, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 945, 329, 720 with Factoring?

Given Input numbers are 744, 945, 329, 720

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (744, 945, 329, 720) = 1.

Find GCD of 744, 945, 329, 720 using Prime Factorization

Given numbers are 744, 945, 329, 720

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 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 329 are 7 x 47

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 744, 945, 329, 720 using LCM Formula

Given numbers are 744, 945, 329, 720

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

Apply this formula for all numbers.

Step1:

LCM(744, 945) = 234360

GCD(744, 945) = ( 744 x 945 ) / 234360

= 744 / 945

= 744


Step2:

LCM(3, 329) = 987

GCD(3, 329) = ( 3 x 329 ) / 987

= 3 / 329

= 3


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 744, 945, 329, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 945, 329, 720

Given numbers are 744, 945, 329, 720
The greatest common divisor of numbers 744, 945, 329, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 945, 329, 720 is 1.

FAQs on GCD of 744, 945, 329, 720 Calculator

1. What is the GCD of 744, 945, 329, 720?

GCD of given numbers 744, 945, 329, 720 is 1


2. How to calculate the greatest common divisor of 744, 945, 329, 720?

We can find the highest common divisor of 744, 945, 329, 720 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, 945, 329, 720 i.e 1.


3. How can I use the GCD of 744, 945, 329, 720Calculator?

Out the numbers 744, 945, 329, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.