LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 465, 401, 689, 238 Calculator

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


Online GCD Calculator is useful to find the GCD of 465, 401, 689, 238 quickly. Get the easiest ways to solve the greatest common divisor of 465, 401, 689, 238 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 465, 401, 689, 238 with Factoring?

Given Input numbers are 465, 401, 689, 238

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (465, 401, 689, 238) = 1.

Find GCD of 465, 401, 689, 238 using Prime Factorization

Given numbers are 465, 401, 689, 238

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 401 are 401

Prime factors of 689 are 13 x 53

Prime factors of 238 are 2 x 7 x 17

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

Steps to Calculate GCD of 465, 401, 689, 238 using LCM Formula

Given numbers are 465, 401, 689, 238

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

Apply this formula for all numbers.

Step1:

LCM(465, 401) = 186465

GCD(465, 401) = ( 465 x 401 ) / 186465

= 465 / 401

= 465


Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1


So, Greatest Common Divisor of 465, 401, 689, 238 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 465, 401, 689, 238

Given numbers are 465, 401, 689, 238
The greatest common divisor of numbers 465, 401, 689, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 401, 689, 238 is 1.

FAQs on GCD of 465, 401, 689, 238 Calculator

1. What is the GCD of 465, 401, 689, 238?

GCD of given numbers 465, 401, 689, 238 is 1


2. How to calculate the greatest common divisor of 465, 401, 689, 238?

We can find the highest common divisor of 465, 401, 689, 238 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 465, 401, 689, 238 i.e 1.


3. How can I use the GCD of 465, 401, 689, 238Calculator?

Out the numbers 465, 401, 689, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.