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GCD of 370, 265, 235, 590 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, 265, 235, 590 quickly. Get the easiest ways to solve the greatest common divisor of 370, 265, 235, 590 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 265, 235, 590 with Factoring?

Given Input numbers are 370, 265, 235, 590

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 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590


GCD of numbers is the greatest common divisor

So, the GCD (370, 265, 235, 590) = 5.

Find GCD of 370, 265, 235, 590 using Prime Factorization

Given numbers are 370, 265, 235, 590

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 265 are 5 x 53

Prime factors of 235 are 5 x 47

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 51

Therefore, GCD of 370, 265, 235, 590 is 5.

Steps to Calculate GCD of 370, 265, 235, 590 using LCM Formula

Given numbers are 370, 265, 235, 590

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

Apply this formula for all numbers.

Step1:

LCM(370, 265) = 19610

GCD(370, 265) = ( 370 x 265 ) / 19610

= 370 / 265

= 370


Step2:

LCM(5, 235) = 235

GCD(5, 235) = ( 5 x 235 ) / 235

= 5 / 235

= 5


Step3:

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

= 5 / 590

= 5


So, Greatest Common Divisor of 370, 265, 235, 590 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 265, 235, 590

Given numbers are 370, 265, 235, 590
The greatest common divisor of numbers 370, 265, 235, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 265, 235, 590 is 5.

FAQs on GCD of 370, 265, 235, 590 Calculator

1. What is the GCD of 370, 265, 235, 590?

GCD of given numbers 370, 265, 235, 590 is 5


2. How to calculate the greatest common divisor of 370, 265, 235, 590?

We can find the highest common divisor of 370, 265, 235, 590 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, 265, 235, 590 i.e 5.


3. How can I use the GCD of 370, 265, 235, 590Calculator?

Out the numbers 370, 265, 235, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.