GCD of 338, 388, 823, 705 Calculator

Given Input numbers are 338, 388, 823, 705

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (338, 388, 823, 705) = 1.

Given numbers are 338, 388, 823, 705

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 388 are 2 x 2 x 97

Prime factors of 823 are 823

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 338, 388, 823, 705

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

Apply this formula for all numbers.

Step1:

LCM(338, 388) = 65572

GCD(338, 388) = ( 338 x 388 ) / 65572

= 338 / 388

= 338

Step2:

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

= 2 / 823

= 2

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 338, 388, 823, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 110, 946, 563
• GCD of 808, 673, 856, 955
• GCD of 866, 986, 829, 727
• GCD of 515, 817, 436, 915
• GCD of 223, 388, 470, 404

Given numbers are 338, 388, 823, 705
The greatest common divisor of numbers 338, 388, 823, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 388, 823, 705 is 1.

1. What is the GCD of 338, 388, 823, 705?

GCD of given numbers 338, 388, 823, 705 is 1

2. How to calculate the greatest common divisor of 338, 388, 823, 705?

We can find the highest common divisor of 338, 388, 823, 705 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 338, 388, 823, 705 i.e 1.

3. How can I use the GCD of 338, 388, 823, 705Calculator?

Out the numbers 338, 388, 823, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.