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GCD of 408, 118, 367, 516 Calculator

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


Online GCD Calculator is useful to find the GCD of 408, 118, 367, 516 quickly. Get the easiest ways to solve the greatest common divisor of 408, 118, 367, 516 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 408, 118, 367, 516 with Factoring?

Given Input numbers are 408, 118, 367, 516

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516


GCD of numbers is the greatest common divisor

So, the GCD (408, 118, 367, 516) = 1.

Find GCD of 408, 118, 367, 516 using Prime Factorization

Given numbers are 408, 118, 367, 516

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 118 are 2 x 59

Prime factors of 367 are 367

Prime factors of 516 are 2 x 2 x 3 x 43

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

Steps to Calculate GCD of 408, 118, 367, 516 using LCM Formula

Given numbers are 408, 118, 367, 516

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

Apply this formula for all numbers.

Step1:

LCM(408, 118) = 24072

GCD(408, 118) = ( 408 x 118 ) / 24072

= 408 / 118

= 408


Step2:

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

= 2 / 367

= 2


Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1


So, Greatest Common Divisor of 408, 118, 367, 516 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 408, 118, 367, 516

Given numbers are 408, 118, 367, 516
The greatest common divisor of numbers 408, 118, 367, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 118, 367, 516 is 1.

FAQs on GCD of 408, 118, 367, 516 Calculator

1. What is the GCD of 408, 118, 367, 516?

GCD of given numbers 408, 118, 367, 516 is 1


2. How to calculate the greatest common divisor of 408, 118, 367, 516?

We can find the highest common divisor of 408, 118, 367, 516 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 408, 118, 367, 516 i.e 1.


3. How can I use the GCD of 408, 118, 367, 516Calculator?

Out the numbers 408, 118, 367, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.