GCD of 830, 565, 530, 553 Calculator

Given Input numbers are 830, 565, 530, 553

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 830, 565, 530, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 565, 530, 553 is 1.

Therefore, GCD of numbers 830, 565, 530, 553 is 1

Given Input Data is 830, 565, 530, 553

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 565 is 5 x 113

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 553 is 7 x 79

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(830, 565) = 93790

GCD(830, 565) = ( 830 x 565 ) / 93790

GCD(830, 565) = 468950 / 93790

GCD(830, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 530

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

LCM(5, 530) = 530

GCD(5, 530) = ( 5 x 530 ) / 530

GCD(5, 530) = 2650 / 530

GCD(5, 530) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 553

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

LCM(5, 553) = 2765

GCD(5, 553) = ( 5 x 553 ) / 2765

GCD(5, 553) = 2765 / 2765

GCD(5, 553) = 1

GCD of 830, 565, 530, 553 is 1

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• GCD of 853, 176, 160, 883
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1. What is the GCD of 830, 565, 530, 553?

GCD of 830, 565, 530, 553 is 1

2. Where do I get the detailed procedure to find GCD of 830, 565, 530, 553?

You can find a detailed procedure to find GCD of 830, 565, 530, 553 on our page.

3. How to find GCD of 830, 565, 530, 553 on a calculator?

You can find the GCD of 830, 565, 530, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.