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GCD of 168, 135, 819, 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 168, 135, 819, 698 quickly. Get the easiest ways to solve the greatest common divisor of 168, 135, 819, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 135, 819, 698 with Factoring?

Given Input numbers are 168, 135, 819, 698

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 (168, 135, 819, 698) = 1.

Find GCD of 168, 135, 819, 698 using Prime Factorization

Given numbers are 168, 135, 819, 698

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 819 are 3 x 3 x 7 x 13

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 168, 135, 819, 698 using LCM Formula

Given numbers are 168, 135, 819, 698

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

Apply this formula for all numbers.

Step1:

LCM(168, 135) = 7560

GCD(168, 135) = ( 168 x 135 ) / 7560

= 168 / 135

= 168


Step2:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3


Step3:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3


So, Greatest Common Divisor of 168, 135, 819, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 135, 819, 698

Given numbers are 168, 135, 819, 698
The greatest common divisor of numbers 168, 135, 819, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 135, 819, 698 is 1.

FAQs on GCD of 168, 135, 819, 698 Calculator

1. What is the GCD of 168, 135, 819, 698?

GCD of given numbers 168, 135, 819, 698 is 1


2. How to calculate the greatest common divisor of 168, 135, 819, 698?

We can find the highest common divisor of 168, 135, 819, 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 168, 135, 819, 698 i.e 1.


3. How can I use the GCD of 168, 135, 819, 698Calculator?

Out the numbers 168, 135, 819, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.