GCD of 338, 104, 412, 993 Calculator

Given Input numbers are 338, 104, 412, 993

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (338, 104, 412, 993) = 1.

Given numbers are 338, 104, 412, 993

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 412 are 2 x 2 x 103

Prime factors of 993 are 3 x 331

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

Given numbers are 338, 104, 412, 993

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

Apply this formula for all numbers.

Step1:

LCM(338, 104) = 1352

GCD(338, 104) = ( 338 x 104 ) / 1352

= 338 / 104

= 338

Step2:

LCM(26, 412) = 5356

GCD(26, 412) = ( 26 x 412 ) / 5356

= 26 / 412

= 26

Step3:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2

So, Greatest Common Divisor of 338, 104, 412, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 349, 221, 857
• GCD of 559, 164, 151, 142
• GCD of 235, 278, 520, 853
• GCD of 429, 307, 595, 586
• GCD of 263, 558, 648, 102

Given numbers are 338, 104, 412, 993
The greatest common divisor of numbers 338, 104, 412, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 104, 412, 993 is 1.

1. What is the GCD of 338, 104, 412, 993?

GCD of given numbers 338, 104, 412, 993 is 1

2. How to calculate the greatest common divisor of 338, 104, 412, 993?

We can find the highest common divisor of 338, 104, 412, 993 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, 104, 412, 993 i.e 1.

3. How can I use the GCD of 338, 104, 412, 993Calculator?

Out the numbers 338, 104, 412, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.