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GCD of 691, 829, 705, 871 Calculator

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


Online GCD Calculator is useful to find the GCD of 691, 829, 705, 871 quickly. Get the easiest ways to solve the greatest common divisor of 691, 829, 705, 871 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 691, 829, 705, 871 with Factoring?

Given Input numbers are 691, 829, 705, 871

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 705 :

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

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871


GCD of numbers is the greatest common divisor

So, the GCD (691, 829, 705, 871) = 1.

Find GCD of 691, 829, 705, 871 using Prime Factorization

Given numbers are 691, 829, 705, 871

The list of prime factors of all numbers are

Prime factors of 691 are 691

Prime factors of 829 are 829

Prime factors of 705 are 3 x 5 x 47

Prime factors of 871 are 13 x 67

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

Steps to Calculate GCD of 691, 829, 705, 871 using LCM Formula

Given numbers are 691, 829, 705, 871

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

Apply this formula for all numbers.

Step1:

LCM(691, 829) = 572839

GCD(691, 829) = ( 691 x 829 ) / 572839

= 691 / 829

= 691


Step2:

LCM(1, 705) = 705

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

= 1 / 705

= 1


Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1


So, Greatest Common Divisor of 691, 829, 705, 871 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 691, 829, 705, 871

Given numbers are 691, 829, 705, 871
The greatest common divisor of numbers 691, 829, 705, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 829, 705, 871 is 1.

FAQs on GCD of 691, 829, 705, 871 Calculator

1. What is the GCD of 691, 829, 705, 871?

GCD of given numbers 691, 829, 705, 871 is 1


2. How to calculate the greatest common divisor of 691, 829, 705, 871?

We can find the highest common divisor of 691, 829, 705, 871 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 691, 829, 705, 871 i.e 1.


3. How can I use the GCD of 691, 829, 705, 871Calculator?

Out the numbers 691, 829, 705, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.