GCD of 978, 628, 548, 783 Calculator

Given Input numbers are 978, 628, 548, 783

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 978, 628, 548, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 628, 548, 783 is 1.

Therefore, GCD of numbers 978, 628, 548, 783 is 1

Given Input Data is 978, 628, 548, 783

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 628 is 2 x 2 x 157

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(978, 628) = 307092

GCD(978, 628) = ( 978 x 628 ) / 307092

GCD(978, 628) = 614184 / 307092

GCD(978, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

GCD of 978, 628, 548, 783 is 1

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1. What is the GCD of 978, 628, 548, 783?

GCD of 978, 628, 548, 783 is 1

2. Where do I get the detailed procedure to find GCD of 978, 628, 548, 783?

You can find a detailed procedure to find GCD of 978, 628, 548, 783 on our page.

3. How to find GCD of 978, 628, 548, 783 on a calculator?

You can find the GCD of 978, 628, 548, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.