GCD of 586, 298, 358, 420 Calculator

Given Input numbers are 586, 298, 358, 420

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 298 :

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

1, 2, 149, 298

Divisors of 358 :

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

1, 2, 179, 358

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

GCD of numbers is the greatest common divisor

So, the GCD (586, 298, 358, 420) = 2.

Given numbers are 586, 298, 358, 420

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 298 are 2 x 149

Prime factors of 358 are 2 x 179

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

The highest common occurrence is 2¹

Therefore, GCD of 586, 298, 358, 420 is 2.

Given numbers are 586, 298, 358, 420

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

Apply this formula for all numbers.

Step1:

LCM(586, 298) = 87314

GCD(586, 298) = ( 586 x 298 ) / 87314

= 586 / 298

= 586

Step2:

LCM(2, 358) = 358

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

= 2 / 358

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 586, 298, 358, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 970, 512, 296
• GCD of 361, 990, 665, 625
• GCD of 469, 664, 447, 988
• GCD of 297, 736, 329, 965
• GCD of 717, 472, 392, 125

Given numbers are 586, 298, 358, 420
The greatest common divisor of numbers 586, 298, 358, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 298, 358, 420 is 2.

1. What is the GCD of 586, 298, 358, 420?

GCD of given numbers 586, 298, 358, 420 is 2

2. How to calculate the greatest common divisor of 586, 298, 358, 420?

We can find the highest common divisor of 586, 298, 358, 420 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 586, 298, 358, 420 i.e 2.

3. How can I use the GCD of 586, 298, 358, 420Calculator?

Out the numbers 586, 298, 358, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.