GCD of 725, 266, 632, 112 Calculator

Given Input numbers are 725, 266, 632, 112

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 725, 266, 632, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 266, 632, 112 is 1.

Therefore, GCD of numbers 725, 266, 632, 112 is 1

Given Input Data is 725, 266, 632, 112

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 266 is 2 x 7 x 19

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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, 266) = 192850

GCD(725, 266) = ( 725 x 266 ) / 192850

GCD(725, 266) = 192850 / 192850

GCD(725, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 725, 266, 632, 112 is 1

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1. What is the GCD of 725, 266, 632, 112?

GCD of 725, 266, 632, 112 is 1

2. Where do I get the detailed procedure to find GCD of 725, 266, 632, 112?

You can find a detailed procedure to find GCD of 725, 266, 632, 112 on our page.

3. How to find GCD of 725, 266, 632, 112 on a calculator?

You can find the GCD of 725, 266, 632, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.