GCD of 464, 302, 50, 668 Calculator

Given Input numbers are 464, 302, 50, 668

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 464, 302, 50, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 302, 50, 668 is 2.

Therefore, GCD of numbers 464, 302, 50, 668 is 2

Given Input Data is 464, 302, 50, 668

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 302 is 2 x 151

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 668 is 2 x 2 x 167

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(464, 302) = 70064

GCD(464, 302) = ( 464 x 302 ) / 70064

GCD(464, 302) = 140128 / 70064

GCD(464, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 464, 302, 50, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 708, 82, 533
• GCD of 829, 964, 82, 750
• GCD of 209, 241, 42, 203
• GCD of 594, 652, 49, 493
• GCD of 651, 497, 21, 525

1. What is the GCD of 464, 302, 50, 668?

GCD of 464, 302, 50, 668 is 2

2. Where do I get the detailed procedure to find GCD of 464, 302, 50, 668?

You can find a detailed procedure to find GCD of 464, 302, 50, 668 on our page.

3. How to find GCD of 464, 302, 50, 668 on a calculator?

You can find the GCD of 464, 302, 50, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.