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GCD of 138, 803, 191, 824 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, 803, 191, 824 quickly. Get the easiest ways to solve the greatest common divisor of 138, 803, 191, 824 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 803, 191, 824 with Factoring?

Given Input numbers are 138, 803, 191, 824

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 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824


GCD of numbers is the greatest common divisor

So, the GCD (138, 803, 191, 824) = 1.

Find GCD of 138, 803, 191, 824 using Prime Factorization

Given numbers are 138, 803, 191, 824

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 803 are 11 x 73

Prime factors of 191 are 191

Prime factors of 824 are 2 x 2 x 2 x 103

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

Steps to Calculate GCD of 138, 803, 191, 824 using LCM Formula

Given numbers are 138, 803, 191, 824

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

Apply this formula for all numbers.

Step1:

LCM(138, 803) = 110814

GCD(138, 803) = ( 138 x 803 ) / 110814

= 138 / 803

= 138


Step2:

LCM(1, 191) = 191

GCD(1, 191) = ( 1 x 191 ) / 191

= 1 / 191

= 1


Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1


So, Greatest Common Divisor of 138, 803, 191, 824 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 803, 191, 824

Given numbers are 138, 803, 191, 824
The greatest common divisor of numbers 138, 803, 191, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 803, 191, 824 is 1.

FAQs on GCD of 138, 803, 191, 824 Calculator

1. What is the GCD of 138, 803, 191, 824?

GCD of given numbers 138, 803, 191, 824 is 1


2. How to calculate the greatest common divisor of 138, 803, 191, 824?

We can find the highest common divisor of 138, 803, 191, 824 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, 803, 191, 824 i.e 1.


3. How can I use the GCD of 138, 803, 191, 824Calculator?

Out the numbers 138, 803, 191, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.