GCD of 210, 284, 360, 424 Calculator

Given Input numbers are 210, 284, 360, 424

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

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (210, 284, 360, 424) = 2.

Given numbers are 210, 284, 360, 424

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 210, 284, 360, 424 is 2.

Given numbers are 210, 284, 360, 424

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

Apply this formula for all numbers.

Step1:

LCM(210, 284) = 29820

GCD(210, 284) = ( 210 x 284 ) / 29820

= 210 / 284

= 210

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 210, 284, 360, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 189, 514, 903
• GCD of 815, 774, 105, 754
• GCD of 576, 372, 581, 897
• GCD of 967, 165, 512, 151
• GCD of 353, 977, 357, 481

Given numbers are 210, 284, 360, 424
The greatest common divisor of numbers 210, 284, 360, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 284, 360, 424 is 2.

1. What is the GCD of 210, 284, 360, 424?

GCD of given numbers 210, 284, 360, 424 is 2

2. How to calculate the greatest common divisor of 210, 284, 360, 424?

We can find the highest common divisor of 210, 284, 360, 424 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 210, 284, 360, 424 i.e 2.

3. How can I use the GCD of 210, 284, 360, 424Calculator?

Out the numbers 210, 284, 360, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.