GCD of 528, 557, 99, 898 Calculator

Given Input numbers are 528, 557, 99, 898

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 557

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

1, 557

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 528, 557, 99, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 557, 99, 898 is 1.

Therefore, GCD of numbers 528, 557, 99, 898 is 1

Given Input Data is 528, 557, 99, 898

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 557 is 557

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 898 is 2 x 449

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(528, 557) = 294096

GCD(528, 557) = ( 528 x 557 ) / 294096

GCD(528, 557) = 294096 / 294096

GCD(528, 557) = 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 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 528, 557, 99, 898 is 1

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• GCD of 954, 565, 75, 253
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• GCD of 364, 618, 25, 795

1. What is the GCD of 528, 557, 99, 898?

GCD of 528, 557, 99, 898 is 1

2. Where do I get the detailed procedure to find GCD of 528, 557, 99, 898?

You can find a detailed procedure to find GCD of 528, 557, 99, 898 on our page.

3. How to find GCD of 528, 557, 99, 898 on a calculator?

You can find the GCD of 528, 557, 99, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.