GCD of 320, 715, 889, 744 Calculator

Given Input numbers are 320, 715, 889, 744

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

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 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 715, 889, 744) = 1.

Given numbers are 320, 715, 889, 744

The list of prime factors of all numbers are

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

Prime factors of 715 are 5 x 11 x 13

Prime factors of 889 are 7 x 127

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

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

Given numbers are 320, 715, 889, 744

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

Apply this formula for all numbers.

Step1:

LCM(320, 715) = 45760

GCD(320, 715) = ( 320 x 715 ) / 45760

= 320 / 715

= 320

Step2:

LCM(5, 889) = 4445

GCD(5, 889) = ( 5 x 889 ) / 4445

= 5 / 889

= 5

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 320, 715, 889, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 767, 180, 414
• GCD of 124, 741, 811, 150
• GCD of 470, 125, 970, 705
• GCD of 597, 115, 418, 165
• GCD of 975, 584, 662, 823

Given numbers are 320, 715, 889, 744
The greatest common divisor of numbers 320, 715, 889, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 715, 889, 744 is 1.

1. What is the GCD of 320, 715, 889, 744?

GCD of given numbers 320, 715, 889, 744 is 1

2. How to calculate the greatest common divisor of 320, 715, 889, 744?

We can find the highest common divisor of 320, 715, 889, 744 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 320, 715, 889, 744 i.e 1.

3. How can I use the GCD of 320, 715, 889, 744Calculator?

Out the numbers 320, 715, 889, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.