GCD of 462, 270, 436, 624 Calculator

Given Input numbers are 462, 270, 436, 624

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 462, 270, 436, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 270, 436, 624 is 2.

Therefore, GCD of numbers 462, 270, 436, 624 is 2

Given Input Data is 462, 270, 436, 624

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(462, 270) = 20790

GCD(462, 270) = ( 462 x 270 ) / 20790

GCD(462, 270) = 124740 / 20790

GCD(462, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 436

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

LCM(6, 436) = 1308

GCD(6, 436) = ( 6 x 436 ) / 1308

GCD(6, 436) = 2616 / 1308

GCD(6, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 462, 270, 436, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 227, 930, 472
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• GCD of 545, 832, 476, 184
• GCD of 826, 163, 340, 618
• GCD of 182, 818, 736, 297

1. What is the GCD of 462, 270, 436, 624?

GCD of 462, 270, 436, 624 is 2

2. Where do I get the detailed procedure to find GCD of 462, 270, 436, 624?

You can find a detailed procedure to find GCD of 462, 270, 436, 624 on our page.

3. How to find GCD of 462, 270, 436, 624 on a calculator?

You can find the GCD of 462, 270, 436, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.