GCD of 265, 827, 55, 112 Calculator

Given Input numbers are 265, 827, 55, 112

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 265, 827, 55, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 827, 55, 112 is 1.

Therefore, GCD of numbers 265, 827, 55, 112 is 1

Given Input Data is 265, 827, 55, 112

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 827 is 827

Prime Factorization of 55 is 5 x 11

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(265, 827) = 219155

GCD(265, 827) = ( 265 x 827 ) / 219155

GCD(265, 827) = 219155 / 219155

GCD(265, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 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 265, 827, 55, 112 is 1

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1. What is the GCD of 265, 827, 55, 112?

GCD of 265, 827, 55, 112 is 1

2. Where do I get the detailed procedure to find GCD of 265, 827, 55, 112?

You can find a detailed procedure to find GCD of 265, 827, 55, 112 on our page.

3. How to find GCD of 265, 827, 55, 112 on a calculator?

You can find the GCD of 265, 827, 55, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.