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GCD of 884, 108, 917, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 884, 108, 917, 698 quickly. Get the easiest ways to solve the greatest common divisor of 884, 108, 917, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 884, 108, 917, 698 with Factoring?

Given Input numbers are 884, 108, 917, 698

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (884, 108, 917, 698) = 1.

Find GCD of 884, 108, 917, 698 using Prime Factorization

Given numbers are 884, 108, 917, 698

The list of prime factors of all numbers are

Prime factors of 884 are 2 x 2 x 13 x 17

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

Prime factors of 917 are 7 x 131

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 884, 108, 917, 698 using LCM Formula

Given numbers are 884, 108, 917, 698

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

Apply this formula for all numbers.

Step1:

LCM(884, 108) = 23868

GCD(884, 108) = ( 884 x 108 ) / 23868

= 884 / 108

= 884


Step2:

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

= 4 / 917

= 4


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 884, 108, 917, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 884, 108, 917, 698

Given numbers are 884, 108, 917, 698
The greatest common divisor of numbers 884, 108, 917, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 108, 917, 698 is 1.

FAQs on GCD of 884, 108, 917, 698 Calculator

1. What is the GCD of 884, 108, 917, 698?

GCD of given numbers 884, 108, 917, 698 is 1


2. How to calculate the greatest common divisor of 884, 108, 917, 698?

We can find the highest common divisor of 884, 108, 917, 698 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 884, 108, 917, 698 i.e 1.


3. How can I use the GCD of 884, 108, 917, 698Calculator?

Out the numbers 884, 108, 917, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.