GCD of 744, 720, 428, 392 Calculator

Given Input numbers are 744, 720, 428, 392

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 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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (744, 720, 428, 392) = 4.

Given numbers are 744, 720, 428, 392

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 428 are 2 x 2 x 107

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 744, 720, 428, 392 is 4.

Given numbers are 744, 720, 428, 392

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

Apply this formula for all numbers.

Step1:

LCM(744, 720) = 22320

GCD(744, 720) = ( 744 x 720 ) / 22320

= 744 / 720

= 744

Step2:

LCM(24, 428) = 2568

GCD(24, 428) = ( 24 x 428 ) / 2568

= 24 / 428

= 24

Step3:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4

So, Greatest Common Divisor of 744, 720, 428, 392 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 969, 369, 294
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• GCD of 640, 380, 871, 330
• GCD of 783, 762, 401, 240
• GCD of 109, 475, 773, 843

Given numbers are 744, 720, 428, 392
The greatest common divisor of numbers 744, 720, 428, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 720, 428, 392 is 4.

1. What is the GCD of 744, 720, 428, 392?

GCD of given numbers 744, 720, 428, 392 is 4

2. How to calculate the greatest common divisor of 744, 720, 428, 392?

We can find the highest common divisor of 744, 720, 428, 392 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, 720, 428, 392 i.e 4.

3. How can I use the GCD of 744, 720, 428, 392Calculator?

Out the numbers 744, 720, 428, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.