GCD of 420, 588, 298, 342 Calculator

Given Input numbers are 420, 588, 298, 342

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (420, 588, 298, 342) = 2.

Given numbers are 420, 588, 298, 342

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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 420, 588, 298, 342 is 2.

Given numbers are 420, 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(420, 588) = 2940

GCD(420, 588) = ( 420 x 588 ) / 2940

= 420 / 588

= 420

Step2:

LCM(84, 298) = 12516

GCD(84, 298) = ( 84 x 298 ) / 12516

= 84 / 298

= 84

Step3:

LCM(2, 342) = 342

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

= 2 / 342

= 2

So, Greatest Common Divisor of 420, 588, 298, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 426, 602, 918
• GCD of 837, 337, 136, 477
• GCD of 794, 871, 719, 287
• GCD of 493, 885, 724, 765
• GCD of 586, 173, 213, 906

Given numbers are 420, 588, 298, 342
The greatest common divisor of numbers 420, 588, 298, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 588, 298, 342 is 2.

1. What is the GCD of 420, 588, 298, 342?

GCD of given numbers 420, 588, 298, 342 is 2

2. How to calculate the greatest common divisor of 420, 588, 298, 342?

We can find the highest common divisor of 420, 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 420, 588, 298, 342 i.e 2.

3. How can I use the GCD of 420, 588, 298, 342Calculator?

Out the numbers 420, 588, 298, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.