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GCD of 871, 689, 870 Calculator

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


Online GCD Calculator is useful to find the GCD of 871, 689, 870 quickly. Get the easiest ways to solve the greatest common divisor of 871, 689, 870 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 689, 870 with Factoring?

Given Input numbers are 871, 689, 870

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

Divisors of 871 :

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

1, 13, 67, 871

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870


GCD of numbers is the greatest common divisor

So, the GCD (871, 689, 870) = 1.

Find GCD of 871, 689, 870 using Prime Factorization

Given numbers are 871, 689, 870

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 689 are 13 x 53

Prime factors of 870 are 2 x 3 x 5 x 29

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

Steps to Calculate GCD of 871, 689, 870 using LCM Formula

Given numbers are 871, 689, 870

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

Apply this formula for all numbers.

Step1:

LCM(871, 689) = 46163

GCD(871, 689) = ( 871 x 689 ) / 46163

= 871 / 689

= 871


Step2:

LCM(13, 870) = 11310

GCD(13, 870) = ( 13 x 870 ) / 11310

= 13 / 870

= 13


So, Greatest Common Divisor of 871, 689, 870 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 689, 870

Given numbers are 871, 689, 870
The greatest common divisor of numbers 871, 689, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 689, 870 is 1.

FAQs on GCD of 871, 689, 870 Calculator

1. What is the GCD of 871, 689, 870?

GCD of given numbers 871, 689, 870 is 1


2. How to calculate the greatest common divisor of 871, 689, 870?

We can find the highest common divisor of 871, 689, 870 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 871, 689, 870 i.e 1.


3. How can I use the GCD of 871, 689, 870Calculator?

Out the numbers 871, 689, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.