GCD of 264, 460, 70, 293 Calculator

Given Input numbers are 264, 460, 70, 293

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 264, 460, 70, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 460, 70, 293 is 1.

Therefore, GCD of numbers 264, 460, 70, 293 is 1

Given Input Data is 264, 460, 70, 293

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 293 is 293

The above numbers do not have any common prime factor. So GCD is 1

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(264, 460) = 30360

GCD(264, 460) = ( 264 x 460 ) / 30360

GCD(264, 460) = 121440 / 30360

GCD(264, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 293

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

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

GCD(2, 293) = 586 / 586

GCD(2, 293) = 1

GCD of 264, 460, 70, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 433, 86, 755
• GCD of 944, 113, 28, 569
• GCD of 521, 927, 80, 327
• GCD of 745, 716, 46, 554
• GCD of 282, 180, 71, 875

1. What is the GCD of 264, 460, 70, 293?

GCD of 264, 460, 70, 293 is 1

2. Where do I get the detailed procedure to find GCD of 264, 460, 70, 293?

You can find a detailed procedure to find GCD of 264, 460, 70, 293 on our page.

3. How to find GCD of 264, 460, 70, 293 on a calculator?

You can find the GCD of 264, 460, 70, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.