GCD of 978, 680, 554 Calculator

Given Input numbers are 978, 680, 554

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 554

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

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 978, 680, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 680, 554 is 2.

Therefore, GCD of numbers 978, 680, 554 is 2

Given Input Data is 978, 680, 554

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 554 is 2 x 277

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(978, 680) = 332520

GCD(978, 680) = ( 978 x 680 ) / 332520

GCD(978, 680) = 665040 / 332520

GCD(978, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

GCD of 978, 680, 554 is 2

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1. What is the GCD of 978, 680, 554?

GCD of 978, 680, 554 is 2

2. Where do I get the detailed procedure to find GCD of 978, 680, 554?

You can find a detailed procedure to find GCD of 978, 680, 554 on our page.

3. How to find GCD of 978, 680, 554 on a calculator?

You can find the GCD of 978, 680, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.