GCD of 732, 270, 978, 619 Calculator

Given Input numbers are 732, 270, 978, 619

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 732, 270, 978, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 270, 978, 619 is 1.

Therefore, GCD of numbers 732, 270, 978, 619 is 1

Given Input Data is 732, 270, 978, 619

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 619 is 619

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(732, 270) = 32940

GCD(732, 270) = ( 732 x 270 ) / 32940

GCD(732, 270) = 197640 / 32940

GCD(732, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 978

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

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

GCD(6, 978) = 5868 / 978

GCD(6, 978) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 619

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

LCM(6, 619) = 3714

GCD(6, 619) = ( 6 x 619 ) / 3714

GCD(6, 619) = 3714 / 3714

GCD(6, 619) = 1

GCD of 732, 270, 978, 619 is 1

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1. What is the GCD of 732, 270, 978, 619?

GCD of 732, 270, 978, 619 is 1

2. Where do I get the detailed procedure to find GCD of 732, 270, 978, 619?

You can find a detailed procedure to find GCD of 732, 270, 978, 619 on our page.

3. How to find GCD of 732, 270, 978, 619 on a calculator?

You can find the GCD of 732, 270, 978, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.