GCD of 306, 704, 533, 338 Calculator

Given Input numbers are 306, 704, 533, 338

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

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 (306, 704, 533, 338) = 1.

Given numbers are 306, 704, 533, 338

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 533 are 13 x 41

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 306, 704, 533, 338

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

Apply this formula for all numbers.

Step1:

LCM(306, 704) = 107712

GCD(306, 704) = ( 306 x 704 ) / 107712

= 306 / 704

= 306

Step2:

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

= 2 / 533

= 2

Step3:

LCM(1, 338) = 338

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

= 1 / 338

= 1

So, Greatest Common Divisor of 306, 704, 533, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 167, 258, 397
• GCD of 227, 643, 313, 139
• GCD of 804, 892, 448, 162
• GCD of 444, 564, 970, 897
• GCD of 801, 720, 331, 481

Given numbers are 306, 704, 533, 338
The greatest common divisor of numbers 306, 704, 533, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 704, 533, 338 is 1.

1. What is the GCD of 306, 704, 533, 338?

GCD of given numbers 306, 704, 533, 338 is 1

2. How to calculate the greatest common divisor of 306, 704, 533, 338?

We can find the highest common divisor of 306, 704, 533, 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 306, 704, 533, 338 i.e 1.

3. How can I use the GCD of 306, 704, 533, 338Calculator?

Out the numbers 306, 704, 533, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.