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GCD of 359, 431, 401, 470 Calculator

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


Online GCD Calculator is useful to find the GCD of 359, 431, 401, 470 quickly. Get the easiest ways to solve the greatest common divisor of 359, 431, 401, 470 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 359, 431, 401, 470 with Factoring?

Given Input numbers are 359, 431, 401, 470

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

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 401 :

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

1, 401

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470


GCD of numbers is the greatest common divisor

So, the GCD (359, 431, 401, 470) = 1.

Find GCD of 359, 431, 401, 470 using Prime Factorization

Given numbers are 359, 431, 401, 470

The list of prime factors of all numbers are

Prime factors of 359 are 359

Prime factors of 431 are 431

Prime factors of 401 are 401

Prime factors of 470 are 2 x 5 x 47

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

Steps to Calculate GCD of 359, 431, 401, 470 using LCM Formula

Given numbers are 359, 431, 401, 470

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

Apply this formula for all numbers.

Step1:

LCM(359, 431) = 154729

GCD(359, 431) = ( 359 x 431 ) / 154729

= 359 / 431

= 359


Step2:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1


Step3:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1


So, Greatest Common Divisor of 359, 431, 401, 470 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 359, 431, 401, 470

Given numbers are 359, 431, 401, 470
The greatest common divisor of numbers 359, 431, 401, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 359, 431, 401, 470 is 1.

FAQs on GCD of 359, 431, 401, 470 Calculator

1. What is the GCD of 359, 431, 401, 470?

GCD of given numbers 359, 431, 401, 470 is 1


2. How to calculate the greatest common divisor of 359, 431, 401, 470?

We can find the highest common divisor of 359, 431, 401, 470 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 359, 431, 401, 470 i.e 1.


3. How can I use the GCD of 359, 431, 401, 470Calculator?

Out the numbers 359, 431, 401, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.