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GCD of 398, 360, 151 Calculator

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


Online GCD Calculator is useful to find the GCD of 398, 360, 151 quickly. Get the easiest ways to solve the greatest common divisor of 398, 360, 151 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 360, 151 with Factoring?

Given Input numbers are 398, 360, 151

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151


GCD of numbers is the greatest common divisor

So, the GCD (398, 360, 151) = 1.

Find GCD of 398, 360, 151 using Prime Factorization

Given numbers are 398, 360, 151

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 151 are 151

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

Steps to Calculate GCD of 398, 360, 151 using LCM Formula

Given numbers are 398, 360, 151

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

Apply this formula for all numbers.

Step1:

LCM(398, 360) = 71640

GCD(398, 360) = ( 398 x 360 ) / 71640

= 398 / 360

= 398


Step2:

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

= 2 / 151

= 2


So, Greatest Common Divisor of 398, 360, 151 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 360, 151

Given numbers are 398, 360, 151
The greatest common divisor of numbers 398, 360, 151 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 360, 151 is 1.

FAQs on GCD of 398, 360, 151 Calculator

1. What is the GCD of 398, 360, 151?

GCD of given numbers 398, 360, 151 is 1


2. How to calculate the greatest common divisor of 398, 360, 151?

We can find the highest common divisor of 398, 360, 151 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 398, 360, 151 i.e 1.


3. How can I use the GCD of 398, 360, 151Calculator?

Out the numbers 398, 360, 151 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.