GCD of 320, 777, 432, 714 Calculator

Given Input numbers are 320, 777, 432, 714

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 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (320, 777, 432, 714) = 1.

Given numbers are 320, 777, 432, 714

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 777 are 3 x 7 x 37

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 320, 777, 432, 714

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

Apply this formula for all numbers.

Step1:

LCM(320, 777) = 248640

GCD(320, 777) = ( 320 x 777 ) / 248640

= 320 / 777

= 320

Step2:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 320, 777, 432, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 476, 112, 836
• GCD of 685, 845, 673, 306
• GCD of 243, 988, 246, 928
• GCD of 980, 735, 326, 953
• GCD of 503, 263, 438, 178

Given numbers are 320, 777, 432, 714
The greatest common divisor of numbers 320, 777, 432, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 777, 432, 714 is 1.

1. What is the GCD of 320, 777, 432, 714?

GCD of given numbers 320, 777, 432, 714 is 1

2. How to calculate the greatest common divisor of 320, 777, 432, 714?

We can find the highest common divisor of 320, 777, 432, 714 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, 777, 432, 714 i.e 1.

3. How can I use the GCD of 320, 777, 432, 714Calculator?

Out the numbers 320, 777, 432, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.