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GCD of 217, 428, 370 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 428, 370 quickly. Get the easiest ways to solve the greatest common divisor of 217, 428, 370 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 428, 370 with Factoring?

Given Input numbers are 217, 428, 370

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 370 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (217, 428, 370) = 1.

Find GCD of 217, 428, 370 using Prime Factorization

Given numbers are 217, 428, 370

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 428 are 2 x 2 x 107

Prime factors of 370 are 2 x 5 x 37

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

Steps to Calculate GCD of 217, 428, 370 using LCM Formula

Given numbers are 217, 428, 370

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

Apply this formula for all numbers.

Step1:

LCM(217, 428) = 92876

GCD(217, 428) = ( 217 x 428 ) / 92876

= 217 / 428

= 217


Step2:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1


So, Greatest Common Divisor of 217, 428, 370 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 428, 370

Given numbers are 217, 428, 370
The greatest common divisor of numbers 217, 428, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 428, 370 is 1.

FAQs on GCD of 217, 428, 370 Calculator

1. What is the GCD of 217, 428, 370?

GCD of given numbers 217, 428, 370 is 1


2. How to calculate the greatest common divisor of 217, 428, 370?

We can find the highest common divisor of 217, 428, 370 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 217, 428, 370 i.e 1.


3. How can I use the GCD of 217, 428, 370Calculator?

Out the numbers 217, 428, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.