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GCD of 209, 709, 698, 182 Calculator

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


Online GCD Calculator is useful to find the GCD of 209, 709, 698, 182 quickly. Get the easiest ways to solve the greatest common divisor of 209, 709, 698, 182 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 209, 709, 698, 182 with Factoring?

Given Input numbers are 209, 709, 698, 182

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182


GCD of numbers is the greatest common divisor

So, the GCD (209, 709, 698, 182) = 1.

Find GCD of 209, 709, 698, 182 using Prime Factorization

Given numbers are 209, 709, 698, 182

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 709 are 709

Prime factors of 698 are 2 x 349

Prime factors of 182 are 2 x 7 x 13

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

Steps to Calculate GCD of 209, 709, 698, 182 using LCM Formula

Given numbers are 209, 709, 698, 182

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

Apply this formula for all numbers.

Step1:

LCM(209, 709) = 148181

GCD(209, 709) = ( 209 x 709 ) / 148181

= 209 / 709

= 209


Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1


So, Greatest Common Divisor of 209, 709, 698, 182 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 209, 709, 698, 182

Given numbers are 209, 709, 698, 182
The greatest common divisor of numbers 209, 709, 698, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 709, 698, 182 is 1.

FAQs on GCD of 209, 709, 698, 182 Calculator

1. What is the GCD of 209, 709, 698, 182?

GCD of given numbers 209, 709, 698, 182 is 1


2. How to calculate the greatest common divisor of 209, 709, 698, 182?

We can find the highest common divisor of 209, 709, 698, 182 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 209, 709, 698, 182 i.e 1.


3. How can I use the GCD of 209, 709, 698, 182Calculator?

Out the numbers 209, 709, 698, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.