GCD of 640, 506, 152, 468 Calculator

Given Input numbers are 640, 506, 152, 468

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 640, 506, 152, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 506, 152, 468 is 2.

Therefore, GCD of numbers 640, 506, 152, 468 is 2

Given Input Data is 640, 506, 152, 468

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 468 is 2 x 2 x 3 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(640, 506) = 161920

GCD(640, 506) = ( 640 x 506 ) / 161920

GCD(640, 506) = 323840 / 161920

GCD(640, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 640, 506, 152, 468 is 2

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1. What is the GCD of 640, 506, 152, 468?

GCD of 640, 506, 152, 468 is 2

2. Where do I get the detailed procedure to find GCD of 640, 506, 152, 468?

You can find a detailed procedure to find GCD of 640, 506, 152, 468 on our page.

3. How to find GCD of 640, 506, 152, 468 on a calculator?

You can find the GCD of 640, 506, 152, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.