GCD of 723, 930, 473, 338 Calculator

Given Input numbers are 723, 930, 473, 338

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 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (723, 930, 473, 338) = 1.

Given numbers are 723, 930, 473, 338

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 473 are 11 x 43

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 723, 930, 473, 338

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

Apply this formula for all numbers.

Step1:

LCM(723, 930) = 224130

GCD(723, 930) = ( 723 x 930 ) / 224130

= 723 / 930

= 723

Step2:

LCM(3, 473) = 1419

GCD(3, 473) = ( 3 x 473 ) / 1419

= 3 / 473

= 3

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 723, 930, 473, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 724, 838, 874
• GCD of 950, 562, 713, 458
• GCD of 930, 558, 379, 306
• GCD of 962, 556, 434, 807
• GCD of 316, 362, 798, 256

Given numbers are 723, 930, 473, 338
The greatest common divisor of numbers 723, 930, 473, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 930, 473, 338 is 1.

1. What is the GCD of 723, 930, 473, 338?

GCD of given numbers 723, 930, 473, 338 is 1

2. How to calculate the greatest common divisor of 723, 930, 473, 338?

We can find the highest common divisor of 723, 930, 473, 338 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, 930, 473, 338 i.e 1.

3. How can I use the GCD of 723, 930, 473, 338Calculator?

Out the numbers 723, 930, 473, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.