GCD of 989, 752, 557 Calculator

Given Input numbers are 989, 752, 557

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 557

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

1, 557

Greatest Common Divisior

We found the divisors of 989, 752, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 752, 557 is 1.

Therefore, GCD of numbers 989, 752, 557 is 1

Given Input Data is 989, 752, 557

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 557 is 557

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(989, 752) = 743728

GCD(989, 752) = ( 989 x 752 ) / 743728

GCD(989, 752) = 743728 / 743728

GCD(989, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 989, 752, 557 is 1

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1. What is the GCD of 989, 752, 557?

GCD of 989, 752, 557 is 1

2. Where do I get the detailed procedure to find GCD of 989, 752, 557?

You can find a detailed procedure to find GCD of 989, 752, 557 on our page.

3. How to find GCD of 989, 752, 557 on a calculator?

You can find the GCD of 989, 752, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.