GCD of 224, 820, 602, 584 Calculator

Given Input numbers are 224, 820, 602, 584

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

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 584 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (224, 820, 602, 584) = 2.

Given numbers are 224, 820, 602, 584

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 602 are 2 x 7 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 224, 820, 602, 584 is 2.

Given numbers are 224, 820, 602, 584

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

Apply this formula for all numbers.

Step1:

LCM(224, 820) = 45920

GCD(224, 820) = ( 224 x 820 ) / 45920

= 224 / 820

= 224

Step2:

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

= 4 / 602

= 4

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 224, 820, 602, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 781, 783, 810
• GCD of 316, 806, 411, 827
• GCD of 222, 590, 194, 927
• GCD of 551, 523, 420, 432
• GCD of 680, 457, 450, 497

Given numbers are 224, 820, 602, 584
The greatest common divisor of numbers 224, 820, 602, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 820, 602, 584 is 2.

1. What is the GCD of 224, 820, 602, 584?

GCD of given numbers 224, 820, 602, 584 is 2

2. How to calculate the greatest common divisor of 224, 820, 602, 584?

We can find the highest common divisor of 224, 820, 602, 584 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 224, 820, 602, 584 i.e 2.

3. How can I use the GCD of 224, 820, 602, 584Calculator?

Out the numbers 224, 820, 602, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.