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GCD of 998, 856, 789, 678 Calculator

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


Online GCD Calculator is useful to find the GCD of 998, 856, 789, 678 quickly. Get the easiest ways to solve the greatest common divisor of 998, 856, 789, 678 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 856, 789, 678 with Factoring?

Given Input numbers are 998, 856, 789, 678

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678


GCD of numbers is the greatest common divisor

So, the GCD (998, 856, 789, 678) = 1.

Find GCD of 998, 856, 789, 678 using Prime Factorization

Given numbers are 998, 856, 789, 678

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 789 are 3 x 263

Prime factors of 678 are 2 x 3 x 113

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

Steps to Calculate GCD of 998, 856, 789, 678 using LCM Formula

Given numbers are 998, 856, 789, 678

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

Apply this formula for all numbers.

Step1:

LCM(998, 856) = 427144

GCD(998, 856) = ( 998 x 856 ) / 427144

= 998 / 856

= 998


Step2:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2


Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


So, Greatest Common Divisor of 998, 856, 789, 678 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 856, 789, 678

Given numbers are 998, 856, 789, 678
The greatest common divisor of numbers 998, 856, 789, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 856, 789, 678 is 1.

FAQs on GCD of 998, 856, 789, 678 Calculator

1. What is the GCD of 998, 856, 789, 678?

GCD of given numbers 998, 856, 789, 678 is 1


2. How to calculate the greatest common divisor of 998, 856, 789, 678?

We can find the highest common divisor of 998, 856, 789, 678 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 998, 856, 789, 678 i.e 1.


3. How can I use the GCD of 998, 856, 789, 678Calculator?

Out the numbers 998, 856, 789, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.