GCD of 428, 744, 320, 719 Calculator

Given Input numbers are 428, 744, 320, 719

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 719 :

The positive integer divisors of 719 that completely divides 719 are.

1, 719

GCD of numbers is the greatest common divisor

So, the GCD (428, 744, 320, 719) = 1.

Given numbers are 428, 744, 320, 719

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 719 are 719

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

Given numbers are 428, 744, 320, 719

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

Apply this formula for all numbers.

Step1:

LCM(428, 744) = 79608

GCD(428, 744) = ( 428 x 744 ) / 79608

= 428 / 744

= 428

Step2:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4

Step3:

LCM(4, 719) = 2876

GCD(4, 719) = ( 4 x 719 ) / 2876

= 4 / 719

= 4

So, Greatest Common Divisor of 428, 744, 320, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 586, 456, 259
• GCD of 838, 725, 607, 282
• GCD of 706, 450, 385, 447
• GCD of 368, 653, 711, 581
• GCD of 191, 652, 996, 376

Given numbers are 428, 744, 320, 719
The greatest common divisor of numbers 428, 744, 320, 719 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 744, 320, 719 is 1.

1. What is the GCD of 428, 744, 320, 719?

GCD of given numbers 428, 744, 320, 719 is 1

2. How to calculate the greatest common divisor of 428, 744, 320, 719?

We can find the highest common divisor of 428, 744, 320, 719 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 428, 744, 320, 719 i.e 1.

3. How can I use the GCD of 428, 744, 320, 719Calculator?

Out the numbers 428, 744, 320, 719 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.