GCD of 240, 588, 298, 342 Calculator

Given Input numbers are 240, 588, 298, 342

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 298 :

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

1, 2, 149, 298

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (240, 588, 298, 342) = 2.

Given numbers are 240, 588, 298, 342

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 298 are 2 x 149

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 240, 588, 298, 342 is 2.

Given numbers are 240, 588, 298, 342

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

Apply this formula for all numbers.

Step1:

LCM(240, 588) = 11760

GCD(240, 588) = ( 240 x 588 ) / 11760

= 240 / 588

= 240

Step2:

LCM(12, 298) = 1788

GCD(12, 298) = ( 12 x 298 ) / 1788

= 12 / 298

= 12

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 240, 588, 298, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 491, 101, 596
• GCD of 266, 844, 278, 437
• GCD of 299, 510, 624, 579
• GCD of 705, 230, 392, 109
• GCD of 111, 147, 384, 618

Given numbers are 240, 588, 298, 342
The greatest common divisor of numbers 240, 588, 298, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 588, 298, 342 is 2.

1. What is the GCD of 240, 588, 298, 342?

GCD of given numbers 240, 588, 298, 342 is 2

2. How to calculate the greatest common divisor of 240, 588, 298, 342?

We can find the highest common divisor of 240, 588, 298, 342 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 240, 588, 298, 342 i.e 2.

3. How can I use the GCD of 240, 588, 298, 342Calculator?

Out the numbers 240, 588, 298, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.