GCD of 978, 432, 48, 695 Calculator

Given Input numbers are 978, 432, 48, 695

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 978, 432, 48, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 432, 48, 695 is 1.

Therefore, GCD of numbers 978, 432, 48, 695 is 1

Given Input Data is 978, 432, 48, 695

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 695 is 5 x 139

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, 432) = 70416

GCD(978, 432) = ( 978 x 432 ) / 70416

GCD(978, 432) = 422496 / 70416

GCD(978, 432) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 48

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

LCM(6, 48) = 48

GCD(6, 48) = ( 6 x 48 ) / 48

GCD(6, 48) = 288 / 48

GCD(6, 48) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 695

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

LCM(6, 695) = 4170

GCD(6, 695) = ( 6 x 695 ) / 4170

GCD(6, 695) = 4170 / 4170

GCD(6, 695) = 1

GCD of 978, 432, 48, 695 is 1

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1. What is the GCD of 978, 432, 48, 695?

GCD of 978, 432, 48, 695 is 1

2. Where do I get the detailed procedure to find GCD of 978, 432, 48, 695?

You can find a detailed procedure to find GCD of 978, 432, 48, 695 on our page.

3. How to find GCD of 978, 432, 48, 695 on a calculator?

You can find the GCD of 978, 432, 48, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.