GCD of 725, 575, 32, 978 Calculator

Given Input numbers are 725, 575, 32, 978

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 725, 575, 32, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 575, 32, 978 is 1.

Therefore, GCD of numbers 725, 575, 32, 978 is 1

Given Input Data is 725, 575, 32, 978

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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(725, 575) = 16675

GCD(725, 575) = ( 725 x 575 ) / 16675

GCD(725, 575) = 416875 / 16675

GCD(725, 575) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 32

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

LCM(25, 32) = 800

GCD(25, 32) = ( 25 x 32 ) / 800

GCD(25, 32) = 800 / 800

GCD(25, 32) = 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 725, 575, 32, 978 is 1

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1. What is the GCD of 725, 575, 32, 978?

GCD of 725, 575, 32, 978 is 1

2. Where do I get the detailed procedure to find GCD of 725, 575, 32, 978?

You can find a detailed procedure to find GCD of 725, 575, 32, 978 on our page.

3. How to find GCD of 725, 575, 32, 978 on a calculator?

You can find the GCD of 725, 575, 32, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.