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GCD of 838, 367, 75, 208 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 367, 75, 208 quickly. Get the easiest ways to solve the greatest common divisor of 838, 367, 75, 208 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 367, 75, 208 with Factoring?

Given Input numbers are 838, 367, 75, 208

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 367 :

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

1, 367

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 208 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (838, 367, 75, 208) = 1.

Find GCD of 838, 367, 75, 208 using Prime Factorization

Given numbers are 838, 367, 75, 208

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 367 are 367

Prime factors of 75 are 3 x 5 x 5

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

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

Steps to Calculate GCD of 838, 367, 75, 208 using LCM Formula

Given numbers are 838, 367, 75, 208

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

Apply this formula for all numbers.

Step1:

LCM(838, 367) = 307546

GCD(838, 367) = ( 838 x 367 ) / 307546

= 838 / 367

= 838


Step2:

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

= 1 / 75

= 1


Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1


So, Greatest Common Divisor of 838, 367, 75, 208 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 367, 75, 208

Given numbers are 838, 367, 75, 208
The greatest common divisor of numbers 838, 367, 75, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 367, 75, 208 is 1.

FAQs on GCD of 838, 367, 75, 208 Calculator

1. What is the GCD of 838, 367, 75, 208?

GCD of given numbers 838, 367, 75, 208 is 1


2. How to calculate the greatest common divisor of 838, 367, 75, 208?

We can find the highest common divisor of 838, 367, 75, 208 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 838, 367, 75, 208 i.e 1.


3. How can I use the GCD of 838, 367, 75, 208Calculator?

Out the numbers 838, 367, 75, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.