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GCD of 138, 211, 870, 392 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, 211, 870, 392 quickly. Get the easiest ways to solve the greatest common divisor of 138, 211, 870, 392 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 211, 870, 392 with Factoring?

Given Input numbers are 138, 211, 870, 392

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 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392


GCD of numbers is the greatest common divisor

So, the GCD (138, 211, 870, 392) = 1.

Find GCD of 138, 211, 870, 392 using Prime Factorization

Given numbers are 138, 211, 870, 392

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 211 are 211

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Steps to Calculate GCD of 138, 211, 870, 392 using LCM Formula

Given numbers are 138, 211, 870, 392

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

Apply this formula for all numbers.

Step1:

LCM(138, 211) = 29118

GCD(138, 211) = ( 138 x 211 ) / 29118

= 138 / 211

= 138


Step2:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1


Step3:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1


So, Greatest Common Divisor of 138, 211, 870, 392 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 211, 870, 392

Given numbers are 138, 211, 870, 392
The greatest common divisor of numbers 138, 211, 870, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 211, 870, 392 is 1.

FAQs on GCD of 138, 211, 870, 392 Calculator

1. What is the GCD of 138, 211, 870, 392?

GCD of given numbers 138, 211, 870, 392 is 1


2. How to calculate the greatest common divisor of 138, 211, 870, 392?

We can find the highest common divisor of 138, 211, 870, 392 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, 211, 870, 392 i.e 1.


3. How can I use the GCD of 138, 211, 870, 392Calculator?

Out the numbers 138, 211, 870, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.