GCD of 65, 670, 283, 824 Calculator

Given Input numbers are 65, 670, 283, 824

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 65, 670, 283, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 670, 283, 824 is 1.

Therefore, GCD of numbers 65, 670, 283, 824 is 1

Given Input Data is 65, 670, 283, 824

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 283 is 283

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(65, 670) = 8710

GCD(65, 670) = ( 65 x 670 ) / 8710

GCD(65, 670) = 43550 / 8710

GCD(65, 670) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 283

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

LCM(5, 283) = 1415

GCD(5, 283) = ( 5 x 283 ) / 1415

GCD(5, 283) = 1415 / 1415

GCD(5, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 65, 670, 283, 824 is 1

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1. What is the GCD of 65, 670, 283, 824?

GCD of 65, 670, 283, 824 is 1

2. Where do I get the detailed procedure to find GCD of 65, 670, 283, 824?

You can find a detailed procedure to find GCD of 65, 670, 283, 824 on our page.

3. How to find GCD of 65, 670, 283, 824 on a calculator?

You can find the GCD of 65, 670, 283, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.