GCD of 747, 570, 148, 978 Calculator

Given Input numbers are 747, 570, 148, 978

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 747, 570, 148, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 570, 148, 978 is 1.

Therefore, GCD of numbers 747, 570, 148, 978 is 1

Given Input Data is 747, 570, 148, 978

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 978 is 2 x 3 x 163

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(747, 570) = 141930

GCD(747, 570) = ( 747 x 570 ) / 141930

GCD(747, 570) = 425790 / 141930

GCD(747, 570) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 148

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

LCM(3, 148) = 444

GCD(3, 148) = ( 3 x 148 ) / 444

GCD(3, 148) = 444 / 444

GCD(3, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 747, 570, 148, 978 is 1

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1. What is the GCD of 747, 570, 148, 978?

GCD of 747, 570, 148, 978 is 1

2. Where do I get the detailed procedure to find GCD of 747, 570, 148, 978?

You can find a detailed procedure to find GCD of 747, 570, 148, 978 on our page.

3. How to find GCD of 747, 570, 148, 978 on a calculator?

You can find the GCD of 747, 570, 148, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.