GCD of 70, 304, 270, 578 Calculator

Given Input numbers are 70, 304, 270, 578

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 70, 304, 270, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 304, 270, 578 is 2.

Therefore, GCD of numbers 70, 304, 270, 578 is 2

Given Input Data is 70, 304, 270, 578

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 578 is 2 x 17 x 17

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(70, 304) = 10640

GCD(70, 304) = ( 70 x 304 ) / 10640

GCD(70, 304) = 21280 / 10640

GCD(70, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 70, 304, 270, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 742, 140, 616
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• GCD of 98, 856, 486, 473

1. What is the GCD of 70, 304, 270, 578?

GCD of 70, 304, 270, 578 is 2

2. Where do I get the detailed procedure to find GCD of 70, 304, 270, 578?

You can find a detailed procedure to find GCD of 70, 304, 270, 578 on our page.

3. How to find GCD of 70, 304, 270, 578 on a calculator?

You can find the GCD of 70, 304, 270, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.