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GCD of 370, 344, 900, 293 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, 344, 900, 293 quickly. Get the easiest ways to solve the greatest common divisor of 370, 344, 900, 293 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 344, 900, 293 with Factoring?

Given Input numbers are 370, 344, 900, 293

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293


GCD of numbers is the greatest common divisor

So, the GCD (370, 344, 900, 293) = 1.

Find GCD of 370, 344, 900, 293 using Prime Factorization

Given numbers are 370, 344, 900, 293

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 293 are 293

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

Steps to Calculate GCD of 370, 344, 900, 293 using LCM Formula

Given numbers are 370, 344, 900, 293

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

Apply this formula for all numbers.

Step1:

LCM(370, 344) = 63640

GCD(370, 344) = ( 370 x 344 ) / 63640

= 370 / 344

= 370


Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2


Step3:

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

= 2 / 293

= 2


So, Greatest Common Divisor of 370, 344, 900, 293 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 344, 900, 293

Given numbers are 370, 344, 900, 293
The greatest common divisor of numbers 370, 344, 900, 293 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 344, 900, 293 is 1.

FAQs on GCD of 370, 344, 900, 293 Calculator

1. What is the GCD of 370, 344, 900, 293?

GCD of given numbers 370, 344, 900, 293 is 1


2. How to calculate the greatest common divisor of 370, 344, 900, 293?

We can find the highest common divisor of 370, 344, 900, 293 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, 344, 900, 293 i.e 1.


3. How can I use the GCD of 370, 344, 900, 293Calculator?

Out the numbers 370, 344, 900, 293 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.