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GCD of 112, 223, 908, 135 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 112, 223, 908, 135 quickly. Get the easiest ways to solve the greatest common divisor of 112, 223, 908, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 223, 908, 135 with Factoring?

Given Input numbers are 112, 223, 908, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (112, 223, 908, 135) = 1.

Find GCD of 112, 223, 908, 135 using Prime Factorization

Given numbers are 112, 223, 908, 135

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 223 are 223

Prime factors of 908 are 2 x 2 x 227

Prime factors of 135 are 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 112, 223, 908, 135 using LCM Formula

Given numbers are 112, 223, 908, 135

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(112, 223) = 24976

GCD(112, 223) = ( 112 x 223 ) / 24976

= 112 / 223

= 112


Step2:

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

= 1 / 908

= 1


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 112, 223, 908, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 223, 908, 135

Given numbers are 112, 223, 908, 135
The greatest common divisor of numbers 112, 223, 908, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 223, 908, 135 is 1.

FAQs on GCD of 112, 223, 908, 135 Calculator

1. What is the GCD of 112, 223, 908, 135?

GCD of given numbers 112, 223, 908, 135 is 1


2. How to calculate the greatest common divisor of 112, 223, 908, 135?

We can find the highest common divisor of 112, 223, 908, 135 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 112, 223, 908, 135 i.e 1.


3. How can I use the GCD of 112, 223, 908, 135Calculator?

Out the numbers 112, 223, 908, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.