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GCD of 138, 299, 59, 836 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 299, 59, 836 quickly. Get the easiest ways to solve the greatest common divisor of 138, 299, 59, 836 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 299, 59, 836 with Factoring?

Given Input numbers are 138, 299, 59, 836

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836


GCD of numbers is the greatest common divisor

So, the GCD (138, 299, 59, 836) = 1.

Find GCD of 138, 299, 59, 836 using Prime Factorization

Given numbers are 138, 299, 59, 836

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 299 are 13 x 23

Prime factors of 59 are 59

Prime factors of 836 are 2 x 2 x 11 x 19

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

Steps to Calculate GCD of 138, 299, 59, 836 using LCM Formula

Given numbers are 138, 299, 59, 836

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

Apply this formula for all numbers.

Step1:

LCM(138, 299) = 1794

GCD(138, 299) = ( 138 x 299 ) / 1794

= 138 / 299

= 138


Step2:

LCM(23, 59) = 1357

GCD(23, 59) = ( 23 x 59 ) / 1357

= 23 / 59

= 23


Step3:

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

= 1 / 836

= 1


So, Greatest Common Divisor of 138, 299, 59, 836 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 299, 59, 836

Given numbers are 138, 299, 59, 836
The greatest common divisor of numbers 138, 299, 59, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 299, 59, 836 is 1.

FAQs on GCD of 138, 299, 59, 836 Calculator

1. What is the GCD of 138, 299, 59, 836?

GCD of given numbers 138, 299, 59, 836 is 1


2. How to calculate the greatest common divisor of 138, 299, 59, 836?

We can find the highest common divisor of 138, 299, 59, 836 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 138, 299, 59, 836 i.e 1.


3. How can I use the GCD of 138, 299, 59, 836Calculator?

Out the numbers 138, 299, 59, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.