GCD of 462, 666, 378, 350 Calculator

Given Input numbers are 462, 666, 378, 350

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 462, 666, 378, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 666, 378, 350 is 2.

Therefore, GCD of numbers 462, 666, 378, 350 is 2

Given Input Data is 462, 666, 378, 350

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 666 is 2 x 3 x 3 x 37

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 350 is 2 x 5 x 5 x 7

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, 666) = 51282

GCD(462, 666) = ( 462 x 666 ) / 51282

GCD(462, 666) = 307692 / 51282

GCD(462, 666) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 378

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

LCM(6, 378) = 378

GCD(6, 378) = ( 6 x 378 ) / 378

GCD(6, 378) = 2268 / 378

GCD(6, 378) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 350

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

LCM(6, 350) = 1050

GCD(6, 350) = ( 6 x 350 ) / 1050

GCD(6, 350) = 2100 / 1050

GCD(6, 350) = 2

GCD of 462, 666, 378, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 755, 390, 500
• GCD of 831, 402, 634, 828
• GCD of 659, 224, 195, 184
• GCD of 571, 697, 428, 841
• GCD of 105, 464, 267, 582

1. What is the GCD of 462, 666, 378, 350?

GCD of 462, 666, 378, 350 is 2

2. Where do I get the detailed procedure to find GCD of 462, 666, 378, 350?

You can find a detailed procedure to find GCD of 462, 666, 378, 350 on our page.

3. How to find GCD of 462, 666, 378, 350 on a calculator?

You can find the GCD of 462, 666, 378, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.