GCD of 580, 224, 812, 538 Calculator

Given Input numbers are 580, 224, 812, 538

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 538 :

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

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (580, 224, 812, 538) = 2.

Given numbers are 580, 224, 812, 538

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 580, 224, 812, 538 is 2.

Given numbers are 580, 224, 812, 538

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

Apply this formula for all numbers.

Step1:

LCM(580, 224) = 32480

GCD(580, 224) = ( 580 x 224 ) / 32480

= 580 / 224

= 580

Step2:

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

= 4 / 812

= 4

Step3:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

So, Greatest Common Divisor of 580, 224, 812, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 227, 736, 511
• GCD of 226, 752, 899, 369
• GCD of 376, 774, 485, 573
• GCD of 730, 582, 823, 143
• GCD of 603, 874, 672, 558

Given numbers are 580, 224, 812, 538
The greatest common divisor of numbers 580, 224, 812, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 224, 812, 538 is 2.

1. What is the GCD of 580, 224, 812, 538?

GCD of given numbers 580, 224, 812, 538 is 2

2. How to calculate the greatest common divisor of 580, 224, 812, 538?

We can find the highest common divisor of 580, 224, 812, 538 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 580, 224, 812, 538 i.e 2.

3. How can I use the GCD of 580, 224, 812, 538Calculator?

Out the numbers 580, 224, 812, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.