GCD of 504, 588, 584, 298 Calculator

Given Input numbers are 504, 588, 584, 298

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 298 :

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

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (504, 588, 584, 298) = 2.

Given numbers are 504, 588, 584, 298

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 504, 588, 584, 298 is 2.

Given numbers are 504, 588, 584, 298

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

Apply this formula for all numbers.

Step1:

LCM(504, 588) = 3528

GCD(504, 588) = ( 504 x 588 ) / 3528

= 504 / 588

= 504

Step2:

LCM(84, 584) = 12264

GCD(84, 584) = ( 84 x 584 ) / 12264

= 84 / 584

= 84

Step3:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

So, Greatest Common Divisor of 504, 588, 584, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 308, 398, 294
• GCD of 565, 451, 468, 620
• GCD of 224, 347, 391, 961
• GCD of 926, 897, 878, 269
• GCD of 502, 861, 404, 241

Given numbers are 504, 588, 584, 298
The greatest common divisor of numbers 504, 588, 584, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 588, 584, 298 is 2.

1. What is the GCD of 504, 588, 584, 298?

GCD of given numbers 504, 588, 584, 298 is 2

2. How to calculate the greatest common divisor of 504, 588, 584, 298?

We can find the highest common divisor of 504, 588, 584, 298 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 504, 588, 584, 298 i.e 2.

3. How can I use the GCD of 504, 588, 584, 298Calculator?

Out the numbers 504, 588, 584, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.