GCD of 630, 462, 105, 225 Calculator

Given Input numbers are 630, 462, 105, 225

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (630, 462, 105, 225) = 3.

Given numbers are 630, 462, 105, 225

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 630, 462, 105, 225 is 3.

Given numbers are 630, 462, 105, 225

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

Apply this formula for all numbers.

Step1:

LCM(630, 462) = 6930

GCD(630, 462) = ( 630 x 462 ) / 6930

= 630 / 462

= 630

Step2:

LCM(42, 105) = 210

GCD(42, 105) = ( 42 x 105 ) / 210

= 42 / 105

= 42

Step3:

LCM(21, 225) = 1575

GCD(21, 225) = ( 21 x 225 ) / 1575

= 21 / 225

= 21

So, Greatest Common Divisor of 630, 462, 105, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 357, 704, 772
• GCD of 660, 559, 928, 914
• GCD of 815, 627, 203, 963
• GCD of 340, 862, 431, 543
• GCD of 262, 777, 611, 399

Given numbers are 630, 462, 105, 225
The greatest common divisor of numbers 630, 462, 105, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 462, 105, 225 is 3.

1. What is the GCD of 630, 462, 105, 225?

GCD of given numbers 630, 462, 105, 225 is 3

2. How to calculate the greatest common divisor of 630, 462, 105, 225?

We can find the highest common divisor of 630, 462, 105, 225 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 630, 462, 105, 225 i.e 3.

3. How can I use the GCD of 630, 462, 105, 225Calculator?

Out the numbers 630, 462, 105, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.