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GCD of 882, 240, 559, 398 Calculator

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


Online GCD Calculator is useful to find the GCD of 882, 240, 559, 398 quickly. Get the easiest ways to solve the greatest common divisor of 882, 240, 559, 398 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 882, 240, 559, 398 with Factoring?

Given Input numbers are 882, 240, 559, 398

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398


GCD of numbers is the greatest common divisor

So, the GCD (882, 240, 559, 398) = 1.

Find GCD of 882, 240, 559, 398 using Prime Factorization

Given numbers are 882, 240, 559, 398

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 559 are 13 x 43

Prime factors of 398 are 2 x 199

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

Steps to Calculate GCD of 882, 240, 559, 398 using LCM Formula

Given numbers are 882, 240, 559, 398

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

Apply this formula for all numbers.

Step1:

LCM(882, 240) = 35280

GCD(882, 240) = ( 882 x 240 ) / 35280

= 882 / 240

= 882


Step2:

LCM(6, 559) = 3354

GCD(6, 559) = ( 6 x 559 ) / 3354

= 6 / 559

= 6


Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


So, Greatest Common Divisor of 882, 240, 559, 398 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 882, 240, 559, 398

Given numbers are 882, 240, 559, 398
The greatest common divisor of numbers 882, 240, 559, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 240, 559, 398 is 1.

FAQs on GCD of 882, 240, 559, 398 Calculator

1. What is the GCD of 882, 240, 559, 398?

GCD of given numbers 882, 240, 559, 398 is 1


2. How to calculate the greatest common divisor of 882, 240, 559, 398?

We can find the highest common divisor of 882, 240, 559, 398 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 882, 240, 559, 398 i.e 1.


3. How can I use the GCD of 882, 240, 559, 398Calculator?

Out the numbers 882, 240, 559, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.