GCD of 738, 345, 244, 723 Calculator

Given Input numbers are 738, 345, 244, 723

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 244 :

The positive integer divisors of 244 that completely divides 244 are.

1, 2, 4, 61, 122, 244

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (738, 345, 244, 723) = 1.

Given numbers are 738, 345, 244, 723

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 345 are 3 x 5 x 23

Prime factors of 244 are 2 x 2 x 61

Prime factors of 723 are 3 x 241

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

Given numbers are 738, 345, 244, 723

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

Apply this formula for all numbers.

Step1:

LCM(738, 345) = 84870

GCD(738, 345) = ( 738 x 345 ) / 84870

= 738 / 345

= 738

Step2:

LCM(3, 244) = 732

GCD(3, 244) = ( 3 x 244 ) / 732

= 3 / 244

= 3

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 738, 345, 244, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 395, 964, 222
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• GCD of 504, 419, 173, 861

Given numbers are 738, 345, 244, 723
The greatest common divisor of numbers 738, 345, 244, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 345, 244, 723 is 1.

1. What is the GCD of 738, 345, 244, 723?

GCD of given numbers 738, 345, 244, 723 is 1

2. How to calculate the greatest common divisor of 738, 345, 244, 723?

We can find the highest common divisor of 738, 345, 244, 723 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 738, 345, 244, 723 i.e 1.

3. How can I use the GCD of 738, 345, 244, 723Calculator?

Out the numbers 738, 345, 244, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.