GCD of 557, 820, 99, 755 Calculator

Given Input numbers are 557, 820, 99, 755

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 557, 820, 99, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 820, 99, 755 is 1.

Therefore, GCD of numbers 557, 820, 99, 755 is 1

Given Input Data is 557, 820, 99, 755

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

Prime Factorization of 557 is 557

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 755 is 5 x 151

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(557, 820) = 456740

GCD(557, 820) = ( 557 x 820 ) / 456740

GCD(557, 820) = 456740 / 456740

GCD(557, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 557, 820, 99, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 746, 98, 880
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1. What is the GCD of 557, 820, 99, 755?

GCD of 557, 820, 99, 755 is 1

2. Where do I get the detailed procedure to find GCD of 557, 820, 99, 755?

You can find a detailed procedure to find GCD of 557, 820, 99, 755 on our page.

3. How to find GCD of 557, 820, 99, 755 on a calculator?

You can find the GCD of 557, 820, 99, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.