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GCD of 170, 427, 300, 242 Calculator

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


Online GCD Calculator is useful to find the GCD of 170, 427, 300, 242 quickly. Get the easiest ways to solve the greatest common divisor of 170, 427, 300, 242 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 170, 427, 300, 242 with Factoring?

Given Input numbers are 170, 427, 300, 242

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (170, 427, 300, 242) = 1.

Find GCD of 170, 427, 300, 242 using Prime Factorization

Given numbers are 170, 427, 300, 242

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 427 are 7 x 61

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 242 are 2 x 11 x 11

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

Steps to Calculate GCD of 170, 427, 300, 242 using LCM Formula

Given numbers are 170, 427, 300, 242

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

Apply this formula for all numbers.

Step1:

LCM(170, 427) = 72590

GCD(170, 427) = ( 170 x 427 ) / 72590

= 170 / 427

= 170


Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1


Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


So, Greatest Common Divisor of 170, 427, 300, 242 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 170, 427, 300, 242

Given numbers are 170, 427, 300, 242
The greatest common divisor of numbers 170, 427, 300, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 427, 300, 242 is 1.

FAQs on GCD of 170, 427, 300, 242 Calculator

1. What is the GCD of 170, 427, 300, 242?

GCD of given numbers 170, 427, 300, 242 is 1


2. How to calculate the greatest common divisor of 170, 427, 300, 242?

We can find the highest common divisor of 170, 427, 300, 242 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 170, 427, 300, 242 i.e 1.


3. How can I use the GCD of 170, 427, 300, 242Calculator?

Out the numbers 170, 427, 300, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.