GCD of 283, 700, 774, 488 Calculator

Given Input numbers are 283, 700, 774, 488

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

Divisors of 283

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

1, 283

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 283, 700, 774, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 700, 774, 488 is 1.

Therefore, GCD of numbers 283, 700, 774, 488 is 1

Given Input Data is 283, 700, 774, 488

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

Prime Factorization of 283 is 283

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(283, 700) = 198100

GCD(283, 700) = ( 283 x 700 ) / 198100

GCD(283, 700) = 198100 / 198100

GCD(283, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 283, 700, 774, 488 is 1

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• GCD of 914, 317, 132, 350
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1. What is the GCD of 283, 700, 774, 488?

GCD of 283, 700, 774, 488 is 1

2. Where do I get the detailed procedure to find GCD of 283, 700, 774, 488?

You can find a detailed procedure to find GCD of 283, 700, 774, 488 on our page.

3. How to find GCD of 283, 700, 774, 488 on a calculator?

You can find the GCD of 283, 700, 774, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.