GCD of 70, 460, 567, 293 Calculator

Given Input numbers are 70, 460, 567, 293

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 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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 70, 460, 567, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 460, 567, 293 is 1.

Therefore, GCD of numbers 70, 460, 567, 293 is 1

Given Input Data is 70, 460, 567, 293

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 567 is 3 x 3 x 3 x 3 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(70, 460) = 3220

GCD(70, 460) = ( 70 x 460 ) / 3220

GCD(70, 460) = 32200 / 3220

GCD(70, 460) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 567

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

LCM(10, 567) = 5670

GCD(10, 567) = ( 10 x 567 ) / 5670

GCD(10, 567) = 5670 / 5670

GCD(10, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 70, 460, 567, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 150, 952, 546
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• GCD of 69, 509, 784, 961
• GCD of 14, 990, 817, 916

1. What is the GCD of 70, 460, 567, 293?

GCD of 70, 460, 567, 293 is 1

2. Where do I get the detailed procedure to find GCD of 70, 460, 567, 293?

You can find a detailed procedure to find GCD of 70, 460, 567, 293 on our page.

3. How to find GCD of 70, 460, 567, 293 on a calculator?

You can find the GCD of 70, 460, 567, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.