GCD of 548, 538, 306, 358 Calculator

Given Input numbers are 548, 538, 306, 358

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (548, 538, 306, 358) = 2.

Given numbers are 548, 538, 306, 358

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 538 are 2 x 269

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

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 548, 538, 306, 358 is 2.

Given numbers are 548, 538, 306, 358

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

Apply this formula for all numbers.

Step1:

LCM(548, 538) = 147412

GCD(548, 538) = ( 548 x 538 ) / 147412

= 548 / 538

= 548

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 548, 538, 306, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 518, 739, 518
• GCD of 829, 518, 115, 540
• GCD of 830, 223, 535, 746
• GCD of 483, 939, 772, 656
• GCD of 650, 655, 515, 878

Given numbers are 548, 538, 306, 358
The greatest common divisor of numbers 548, 538, 306, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 538, 306, 358 is 2.

1. What is the GCD of 548, 538, 306, 358?

GCD of given numbers 548, 538, 306, 358 is 2

2. How to calculate the greatest common divisor of 548, 538, 306, 358?

We can find the highest common divisor of 548, 538, 306, 358 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 548, 538, 306, 358 i.e 2.

3. How can I use the GCD of 548, 538, 306, 358Calculator?

Out the numbers 548, 538, 306, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.