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GCD of 914, 112, 918, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 914, 112, 918, 369 quickly. Get the easiest ways to solve the greatest common divisor of 914, 112, 918, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 914, 112, 918, 369 with Factoring?

Given Input numbers are 914, 112, 918, 369

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (914, 112, 918, 369) = 1.

Find GCD of 914, 112, 918, 369 using Prime Factorization

Given numbers are 914, 112, 918, 369

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 914, 112, 918, 369 using LCM Formula

Given numbers are 914, 112, 918, 369

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

Apply this formula for all numbers.

Step1:

LCM(914, 112) = 51184

GCD(914, 112) = ( 914 x 112 ) / 51184

= 914 / 112

= 914


Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2


Step3:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2


So, Greatest Common Divisor of 914, 112, 918, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 914, 112, 918, 369

Given numbers are 914, 112, 918, 369
The greatest common divisor of numbers 914, 112, 918, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 112, 918, 369 is 1.

FAQs on GCD of 914, 112, 918, 369 Calculator

1. What is the GCD of 914, 112, 918, 369?

GCD of given numbers 914, 112, 918, 369 is 1


2. How to calculate the greatest common divisor of 914, 112, 918, 369?

We can find the highest common divisor of 914, 112, 918, 369 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 914, 112, 918, 369 i.e 1.


3. How can I use the GCD of 914, 112, 918, 369Calculator?

Out the numbers 914, 112, 918, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.