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GCD of 878, 108, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 878, 108, 697 quickly. Get the easiest ways to solve the greatest common divisor of 878, 108, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 878, 108, 697 with Factoring?

Given Input numbers are 878, 108, 697

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

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (878, 108, 697) = 1.

Find GCD of 878, 108, 697 using Prime Factorization

Given numbers are 878, 108, 697

The list of prime factors of all numbers are

Prime factors of 878 are 2 x 439

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 878, 108, 697 using LCM Formula

Given numbers are 878, 108, 697

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

Apply this formula for all numbers.

Step1:

LCM(878, 108) = 47412

GCD(878, 108) = ( 878 x 108 ) / 47412

= 878 / 108

= 878


Step2:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2


So, Greatest Common Divisor of 878, 108, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 878, 108, 697

Given numbers are 878, 108, 697
The greatest common divisor of numbers 878, 108, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 108, 697 is 1.

FAQs on GCD of 878, 108, 697 Calculator

1. What is the GCD of 878, 108, 697?

GCD of given numbers 878, 108, 697 is 1


2. How to calculate the greatest common divisor of 878, 108, 697?

We can find the highest common divisor of 878, 108, 697 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 878, 108, 697 i.e 1.


3. How can I use the GCD of 878, 108, 697Calculator?

Out the numbers 878, 108, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.