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GCD of 301, 150, 71 Calculator

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


Online GCD Calculator is useful to find the GCD of 301, 150, 71 quickly. Get the easiest ways to solve the greatest common divisor of 301, 150, 71 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 301, 150, 71 with Factoring?

Given Input numbers are 301, 150, 71

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

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71


GCD of numbers is the greatest common divisor

So, the GCD (301, 150, 71) = 1.

Find GCD of 301, 150, 71 using Prime Factorization

Given numbers are 301, 150, 71

The list of prime factors of all numbers are

Prime factors of 301 are 7 x 43

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 71 are 71

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

Steps to Calculate GCD of 301, 150, 71 using LCM Formula

Given numbers are 301, 150, 71

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

Apply this formula for all numbers.

Step1:

LCM(301, 150) = 45150

GCD(301, 150) = ( 301 x 150 ) / 45150

= 301 / 150

= 301


Step2:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1


So, Greatest Common Divisor of 301, 150, 71 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 301, 150, 71

Given numbers are 301, 150, 71
The greatest common divisor of numbers 301, 150, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 301, 150, 71 is 1.

FAQs on GCD of 301, 150, 71 Calculator

1. What is the GCD of 301, 150, 71?

GCD of given numbers 301, 150, 71 is 1


2. How to calculate the greatest common divisor of 301, 150, 71?

We can find the highest common divisor of 301, 150, 71 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 301, 150, 71 i.e 1.


3. How can I use the GCD of 301, 150, 71Calculator?

Out the numbers 301, 150, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.