GCD of 584, 920, 210, 462 Calculator

Given Input numbers are 584, 920, 210, 462

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

Divisors of 584 :

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

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (584, 920, 210, 462) = 2.

Given numbers are 584, 920, 210, 462

The list of prime factors of all numbers are

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 584, 920, 210, 462 is 2.

Given numbers are 584, 920, 210, 462

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

Apply this formula for all numbers.

Step1:

LCM(584, 920) = 67160

GCD(584, 920) = ( 584 x 920 ) / 67160

= 584 / 920

= 584

Step2:

LCM(8, 210) = 840

GCD(8, 210) = ( 8 x 210 ) / 840

= 8 / 210

= 8

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 584, 920, 210, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 268, 642, 489
• GCD of 575, 762, 200, 172
• GCD of 836, 489, 335, 605
• GCD of 512, 360, 849, 272
• GCD of 685, 454, 883, 500

Given numbers are 584, 920, 210, 462
The greatest common divisor of numbers 584, 920, 210, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 920, 210, 462 is 2.

1. What is the GCD of 584, 920, 210, 462?

GCD of given numbers 584, 920, 210, 462 is 2

2. How to calculate the greatest common divisor of 584, 920, 210, 462?

We can find the highest common divisor of 584, 920, 210, 462 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 584, 920, 210, 462 i.e 2.

3. How can I use the GCD of 584, 920, 210, 462Calculator?

Out the numbers 584, 920, 210, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.