GCD of 298, 538, 588, 165 Calculator

Given Input numbers are 298, 538, 588, 165

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (298, 538, 588, 165) = 1.

Given numbers are 298, 538, 588, 165

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 538 are 2 x 269

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 298, 538, 588, 165

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

Apply this formula for all numbers.

Step1:

LCM(298, 538) = 80162

GCD(298, 538) = ( 298 x 538 ) / 80162

= 298 / 538

= 298

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

So, Greatest Common Divisor of 298, 538, 588, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 642, 557, 393
• GCD of 215, 109, 884, 145
• GCD of 561, 790, 619, 465
• GCD of 109, 492, 611, 627
• GCD of 474, 321, 424, 523

Given numbers are 298, 538, 588, 165
The greatest common divisor of numbers 298, 538, 588, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 538, 588, 165 is 1.

1. What is the GCD of 298, 538, 588, 165?

GCD of given numbers 298, 538, 588, 165 is 1

2. How to calculate the greatest common divisor of 298, 538, 588, 165?

We can find the highest common divisor of 298, 538, 588, 165 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 298, 538, 588, 165 i.e 1.

3. How can I use the GCD of 298, 538, 588, 165Calculator?

Out the numbers 298, 538, 588, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.