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GCD of 208, 402, 413 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 402, 413 quickly. Get the easiest ways to solve the greatest common divisor of 208, 402, 413 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 402, 413 with Factoring?

Given Input numbers are 208, 402, 413

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413


GCD of numbers is the greatest common divisor

So, the GCD (208, 402, 413) = 1.

Find GCD of 208, 402, 413 using Prime Factorization

Given numbers are 208, 402, 413

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 402 are 2 x 3 x 67

Prime factors of 413 are 7 x 59

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

Steps to Calculate GCD of 208, 402, 413 using LCM Formula

Given numbers are 208, 402, 413

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

Apply this formula for all numbers.

Step1:

LCM(208, 402) = 41808

GCD(208, 402) = ( 208 x 402 ) / 41808

= 208 / 402

= 208


Step2:

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

= 2 / 413

= 2


So, Greatest Common Divisor of 208, 402, 413 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 402, 413

Given numbers are 208, 402, 413
The greatest common divisor of numbers 208, 402, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 402, 413 is 1.

FAQs on GCD of 208, 402, 413 Calculator

1. What is the GCD of 208, 402, 413?

GCD of given numbers 208, 402, 413 is 1


2. How to calculate the greatest common divisor of 208, 402, 413?

We can find the highest common divisor of 208, 402, 413 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 208, 402, 413 i.e 1.


3. How can I use the GCD of 208, 402, 413Calculator?

Out the numbers 208, 402, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.