GCD of 723, 385, 355 Calculator

Given Input numbers are 723, 385, 355

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (723, 385, 355) = 1.

Given numbers are 723, 385, 355

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 385 are 5 x 7 x 11

Prime factors of 355 are 5 x 71

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

Given numbers are 723, 385, 355

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

Apply this formula for all numbers.

Step1:

LCM(723, 385) = 278355

GCD(723, 385) = ( 723 x 385 ) / 278355

= 723 / 385

= 723

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 723, 385, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 829, 714
• GCD of 617, 514, 570
• GCD of 445, 435, 451
• GCD of 789, 825, 831
• GCD of 371, 109, 776

Given numbers are 723, 385, 355
The greatest common divisor of numbers 723, 385, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 385, 355 is 1.

1. What is the GCD of 723, 385, 355?

GCD of given numbers 723, 385, 355 is 1

2. How to calculate the greatest common divisor of 723, 385, 355?

We can find the highest common divisor of 723, 385, 355 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 723, 385, 355 i.e 1.

3. How can I use the GCD of 723, 385, 355Calculator?

Out the numbers 723, 385, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.