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GCD of 831, 661, 705 Calculator

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


Online GCD Calculator is useful to find the GCD of 831, 661, 705 quickly. Get the easiest ways to solve the greatest common divisor of 831, 661, 705 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 831, 661, 705 with Factoring?

Given Input numbers are 831, 661, 705

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705


GCD of numbers is the greatest common divisor

So, the GCD (831, 661, 705) = 1.

Find GCD of 831, 661, 705 using Prime Factorization

Given numbers are 831, 661, 705

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 661 are 661

Prime factors of 705 are 3 x 5 x 47

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

Steps to Calculate GCD of 831, 661, 705 using LCM Formula

Given numbers are 831, 661, 705

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

Apply this formula for all numbers.

Step1:

LCM(831, 661) = 549291

GCD(831, 661) = ( 831 x 661 ) / 549291

= 831 / 661

= 831


Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1


So, Greatest Common Divisor of 831, 661, 705 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 831, 661, 705

Given numbers are 831, 661, 705
The greatest common divisor of numbers 831, 661, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 661, 705 is 1.

FAQs on GCD of 831, 661, 705 Calculator

1. What is the GCD of 831, 661, 705?

GCD of given numbers 831, 661, 705 is 1


2. How to calculate the greatest common divisor of 831, 661, 705?

We can find the highest common divisor of 831, 661, 705 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 831, 661, 705 i.e 1.


3. How can I use the GCD of 831, 661, 705Calculator?

Out the numbers 831, 661, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.