GCD of 724, 805, 384, 465 Calculator

Given Input numbers are 724, 805, 384, 465

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (724, 805, 384, 465) = 1.

Given numbers are 724, 805, 384, 465

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 805 are 5 x 7 x 23

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 724, 805, 384, 465

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

Apply this formula for all numbers.

Step1:

LCM(724, 805) = 582820

GCD(724, 805) = ( 724 x 805 ) / 582820

= 724 / 805

= 724

Step2:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 724, 805, 384, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 804, 231, 505
• GCD of 343, 935, 369, 733
• GCD of 333, 844, 188, 230
• GCD of 248, 563, 489, 713
• GCD of 602, 197, 729, 555

Given numbers are 724, 805, 384, 465
The greatest common divisor of numbers 724, 805, 384, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 805, 384, 465 is 1.

1. What is the GCD of 724, 805, 384, 465?

GCD of given numbers 724, 805, 384, 465 is 1

2. How to calculate the greatest common divisor of 724, 805, 384, 465?

We can find the highest common divisor of 724, 805, 384, 465 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 724, 805, 384, 465 i.e 1.

3. How can I use the GCD of 724, 805, 384, 465Calculator?

Out the numbers 724, 805, 384, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.