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GCD of 464, 671, 31 Calculator

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


Online GCD Calculator is useful to find the GCD of 464, 671, 31 quickly. Get the easiest ways to solve the greatest common divisor of 464, 671, 31 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 464, 671, 31 with Factoring?

Given Input numbers are 464, 671, 31

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31


GCD of numbers is the greatest common divisor

So, the GCD (464, 671, 31) = 1.

Find GCD of 464, 671, 31 using Prime Factorization

Given numbers are 464, 671, 31

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 671 are 11 x 61

Prime factors of 31 are 31

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

Steps to Calculate GCD of 464, 671, 31 using LCM Formula

Given numbers are 464, 671, 31

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

Apply this formula for all numbers.

Step1:

LCM(464, 671) = 311344

GCD(464, 671) = ( 464 x 671 ) / 311344

= 464 / 671

= 464


Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1


So, Greatest Common Divisor of 464, 671, 31 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 464, 671, 31

Given numbers are 464, 671, 31
The greatest common divisor of numbers 464, 671, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 671, 31 is 1.

FAQs on GCD of 464, 671, 31 Calculator

1. What is the GCD of 464, 671, 31?

GCD of given numbers 464, 671, 31 is 1


2. How to calculate the greatest common divisor of 464, 671, 31?

We can find the highest common divisor of 464, 671, 31 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 464, 671, 31 i.e 1.


3. How can I use the GCD of 464, 671, 31Calculator?

Out the numbers 464, 671, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.