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GCD of 698, 337, 66 Calculator

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


Online GCD Calculator is useful to find the GCD of 698, 337, 66 quickly. Get the easiest ways to solve the greatest common divisor of 698, 337, 66 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 698, 337, 66 with Factoring?

Given Input numbers are 698, 337, 66

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66


GCD of numbers is the greatest common divisor

So, the GCD (698, 337, 66) = 1.

Find GCD of 698, 337, 66 using Prime Factorization

Given numbers are 698, 337, 66

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 337 are 337

Prime factors of 66 are 2 x 3 x 11

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

Steps to Calculate GCD of 698, 337, 66 using LCM Formula

Given numbers are 698, 337, 66

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

Apply this formula for all numbers.

Step1:

LCM(698, 337) = 235226

GCD(698, 337) = ( 698 x 337 ) / 235226

= 698 / 337

= 698


Step2:

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

= 1 / 66

= 1


So, Greatest Common Divisor of 698, 337, 66 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 698, 337, 66

Given numbers are 698, 337, 66
The greatest common divisor of numbers 698, 337, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 337, 66 is 1.

FAQs on GCD of 698, 337, 66 Calculator

1. What is the GCD of 698, 337, 66?

GCD of given numbers 698, 337, 66 is 1


2. How to calculate the greatest common divisor of 698, 337, 66?

We can find the highest common divisor of 698, 337, 66 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 698, 337, 66 i.e 1.


3. How can I use the GCD of 698, 337, 66Calculator?

Out the numbers 698, 337, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.