GCD of 112, 103, 540, 858 Calculator

Given Input numbers are 112, 103, 540, 858

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

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 112, 103, 540, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 103, 540, 858 is 1.

Therefore, GCD of numbers 112, 103, 540, 858 is 1

Given Input Data is 112, 103, 540, 858

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

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

Prime Factorization of 103 is 103

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 858 is 2 x 3 x 11 x 13

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(112, 103) = 11536

GCD(112, 103) = ( 112 x 103 ) / 11536

GCD(112, 103) = 11536 / 11536

GCD(112, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 112, 103, 540, 858 is 1

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1. What is the GCD of 112, 103, 540, 858?

GCD of 112, 103, 540, 858 is 1

2. Where do I get the detailed procedure to find GCD of 112, 103, 540, 858?

You can find a detailed procedure to find GCD of 112, 103, 540, 858 on our page.

3. How to find GCD of 112, 103, 540, 858 on a calculator?

You can find the GCD of 112, 103, 540, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.