GCD of 554, 545, 708, 998 Calculator

Given Input numbers are 554, 545, 708, 998

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 554, 545, 708, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 545, 708, 998 is 1.

Therefore, GCD of numbers 554, 545, 708, 998 is 1

Given Input Data is 554, 545, 708, 998

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 545 is 5 x 109

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 998 is 2 x 499

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(554, 545) = 301930

GCD(554, 545) = ( 554 x 545 ) / 301930

GCD(554, 545) = 301930 / 301930

GCD(554, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 554, 545, 708, 998 is 1

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1. What is the GCD of 554, 545, 708, 998?

GCD of 554, 545, 708, 998 is 1

2. Where do I get the detailed procedure to find GCD of 554, 545, 708, 998?

You can find a detailed procedure to find GCD of 554, 545, 708, 998 on our page.

3. How to find GCD of 554, 545, 708, 998 on a calculator?

You can find the GCD of 554, 545, 708, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.