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GCD of 688, 420, 998, 898 Calculator

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


Online GCD Calculator is useful to find the GCD of 688, 420, 998, 898 quickly. Get the easiest ways to solve the greatest common divisor of 688, 420, 998, 898 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 688, 420, 998, 898 with Factoring?

Given Input numbers are 688, 420, 998, 898

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898


GCD of numbers is the greatest common divisor

So, the GCD (688, 420, 998, 898) = 2.

Find GCD of 688, 420, 998, 898 using Prime Factorization

Given numbers are 688, 420, 998, 898

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 998 are 2 x 499

Prime factors of 898 are 2 x 449

The highest common occurrence is 21

Therefore, GCD of 688, 420, 998, 898 is 2.

Steps to Calculate GCD of 688, 420, 998, 898 using LCM Formula

Given numbers are 688, 420, 998, 898

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

Apply this formula for all numbers.

Step1:

LCM(688, 420) = 72240

GCD(688, 420) = ( 688 x 420 ) / 72240

= 688 / 420

= 688


Step2:

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

= 4 / 998

= 4


Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2


So, Greatest Common Divisor of 688, 420, 998, 898 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 688, 420, 998, 898

Given numbers are 688, 420, 998, 898
The greatest common divisor of numbers 688, 420, 998, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 420, 998, 898 is 2.

FAQs on GCD of 688, 420, 998, 898 Calculator

1. What is the GCD of 688, 420, 998, 898?

GCD of given numbers 688, 420, 998, 898 is 2


2. How to calculate the greatest common divisor of 688, 420, 998, 898?

We can find the highest common divisor of 688, 420, 998, 898 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 688, 420, 998, 898 i.e 2.


3. How can I use the GCD of 688, 420, 998, 898Calculator?

Out the numbers 688, 420, 998, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.