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GCD of 138, 659, 612, 212 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, 659, 612, 212 quickly. Get the easiest ways to solve the greatest common divisor of 138, 659, 612, 212 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 659, 612, 212 with Factoring?

Given Input numbers are 138, 659, 612, 212

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 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212


GCD of numbers is the greatest common divisor

So, the GCD (138, 659, 612, 212) = 1.

Find GCD of 138, 659, 612, 212 using Prime Factorization

Given numbers are 138, 659, 612, 212

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 659 are 659

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 212 are 2 x 2 x 53

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

Steps to Calculate GCD of 138, 659, 612, 212 using LCM Formula

Given numbers are 138, 659, 612, 212

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

Apply this formula for all numbers.

Step1:

LCM(138, 659) = 90942

GCD(138, 659) = ( 138 x 659 ) / 90942

= 138 / 659

= 138


Step2:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1


Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1


So, Greatest Common Divisor of 138, 659, 612, 212 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 659, 612, 212

Given numbers are 138, 659, 612, 212
The greatest common divisor of numbers 138, 659, 612, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 659, 612, 212 is 1.

FAQs on GCD of 138, 659, 612, 212 Calculator

1. What is the GCD of 138, 659, 612, 212?

GCD of given numbers 138, 659, 612, 212 is 1


2. How to calculate the greatest common divisor of 138, 659, 612, 212?

We can find the highest common divisor of 138, 659, 612, 212 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, 659, 612, 212 i.e 1.


3. How can I use the GCD of 138, 659, 612, 212Calculator?

Out the numbers 138, 659, 612, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.