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GCD of 370, 908, 898, 112 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 908, 898, 112 quickly. Get the easiest ways to solve the greatest common divisor of 370, 908, 898, 112 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 908, 898, 112 with Factoring?

Given Input numbers are 370, 908, 898, 112

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 112 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (370, 908, 898, 112) = 2.

Find GCD of 370, 908, 898, 112 using Prime Factorization

Given numbers are 370, 908, 898, 112

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 908 are 2 x 2 x 227

Prime factors of 898 are 2 x 449

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

The highest common occurrence is 21

Therefore, GCD of 370, 908, 898, 112 is 2.

Steps to Calculate GCD of 370, 908, 898, 112 using LCM Formula

Given numbers are 370, 908, 898, 112

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

Apply this formula for all numbers.

Step1:

LCM(370, 908) = 167980

GCD(370, 908) = ( 370 x 908 ) / 167980

= 370 / 908

= 370


Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2


Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2


So, Greatest Common Divisor of 370, 908, 898, 112 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 908, 898, 112

Given numbers are 370, 908, 898, 112
The greatest common divisor of numbers 370, 908, 898, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 908, 898, 112 is 2.

FAQs on GCD of 370, 908, 898, 112 Calculator

1. What is the GCD of 370, 908, 898, 112?

GCD of given numbers 370, 908, 898, 112 is 2


2. How to calculate the greatest common divisor of 370, 908, 898, 112?

We can find the highest common divisor of 370, 908, 898, 112 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 370, 908, 898, 112 i.e 2.


3. How can I use the GCD of 370, 908, 898, 112Calculator?

Out the numbers 370, 908, 898, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.