GCD of 770, 730, 884, 583 Calculator

Given Input numbers are 770, 730, 884, 583

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 770, 730, 884, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 730, 884, 583 is 1.

Therefore, GCD of numbers 770, 730, 884, 583 is 1

Given Input Data is 770, 730, 884, 583

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 583 is 11 x 53

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(770, 730) = 56210

GCD(770, 730) = ( 770 x 730 ) / 56210

GCD(770, 730) = 562100 / 56210

GCD(770, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 884

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

LCM(10, 884) = 4420

GCD(10, 884) = ( 10 x 884 ) / 4420

GCD(10, 884) = 8840 / 4420

GCD(10, 884) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

GCD of 770, 730, 884, 583 is 1

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1. What is the GCD of 770, 730, 884, 583?

GCD of 770, 730, 884, 583 is 1

2. Where do I get the detailed procedure to find GCD of 770, 730, 884, 583?

You can find a detailed procedure to find GCD of 770, 730, 884, 583 on our page.

3. How to find GCD of 770, 730, 884, 583 on a calculator?

You can find the GCD of 770, 730, 884, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.