GCD of 278, 725, 96, 992 Calculator

Given Input numbers are 278, 725, 96, 992

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 278, 725, 96, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 725, 96, 992 is 1.

Therefore, GCD of numbers 278, 725, 96, 992 is 1

Given Input Data is 278, 725, 96, 992

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(278, 725) = 201550

GCD(278, 725) = ( 278 x 725 ) / 201550

GCD(278, 725) = 201550 / 201550

GCD(278, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 278, 725, 96, 992 is 1

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1. What is the GCD of 278, 725, 96, 992?

GCD of 278, 725, 96, 992 is 1

2. Where do I get the detailed procedure to find GCD of 278, 725, 96, 992?

You can find a detailed procedure to find GCD of 278, 725, 96, 992 on our page.

3. How to find GCD of 278, 725, 96, 992 on a calculator?

You can find the GCD of 278, 725, 96, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.