GCD of 112, 710, 892, 135 Calculator

Given Input numbers are 112, 710, 892, 135

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 112, 710, 892, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 710, 892, 135 is 1.

Therefore, GCD of numbers 112, 710, 892, 135 is 1

Given Input Data is 112, 710, 892, 135

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 710 is 2 x 5 x 71

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 710) = 39760

GCD(112, 710) = ( 112 x 710 ) / 39760

GCD(112, 710) = 79520 / 39760

GCD(112, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 112, 710, 892, 135 is 1

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1. What is the GCD of 112, 710, 892, 135?

GCD of 112, 710, 892, 135 is 1

2. Where do I get the detailed procedure to find GCD of 112, 710, 892, 135?

You can find a detailed procedure to find GCD of 112, 710, 892, 135 on our page.

3. How to find GCD of 112, 710, 892, 135 on a calculator?

You can find the GCD of 112, 710, 892, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.