GCD of 270, 422, 88, 640 Calculator

Given Input numbers are 270, 422, 88, 640

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

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 270, 422, 88, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 422, 88, 640 is 2.

Therefore, GCD of numbers 270, 422, 88, 640 is 2

Given Input Data is 270, 422, 88, 640

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

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

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(270, 422) = 56970

GCD(270, 422) = ( 270 x 422 ) / 56970

GCD(270, 422) = 113940 / 56970

GCD(270, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 270, 422, 88, 640 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 527, 94, 763
• GCD of 645, 243, 35, 288
• GCD of 840, 496, 63, 245
• GCD of 673, 415, 97, 163
• GCD of 709, 379, 66, 491

1. What is the GCD of 270, 422, 88, 640?

GCD of 270, 422, 88, 640 is 2

2. Where do I get the detailed procedure to find GCD of 270, 422, 88, 640?

You can find a detailed procedure to find GCD of 270, 422, 88, 640 on our page.

3. How to find GCD of 270, 422, 88, 640 on a calculator?

You can find the GCD of 270, 422, 88, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.