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GCD of 138, 394, 550, 236 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, 394, 550, 236 quickly. Get the easiest ways to solve the greatest common divisor of 138, 394, 550, 236 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 394, 550, 236 with Factoring?

Given Input numbers are 138, 394, 550, 236

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (138, 394, 550, 236) = 2.

Find GCD of 138, 394, 550, 236 using Prime Factorization

Given numbers are 138, 394, 550, 236

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 394 are 2 x 197

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 21

Therefore, GCD of 138, 394, 550, 236 is 2.

Steps to Calculate GCD of 138, 394, 550, 236 using LCM Formula

Given numbers are 138, 394, 550, 236

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

Apply this formula for all numbers.

Step1:

LCM(138, 394) = 27186

GCD(138, 394) = ( 138 x 394 ) / 27186

= 138 / 394

= 138


Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2


Step3:

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

= 2 / 236

= 2


So, Greatest Common Divisor of 138, 394, 550, 236 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 394, 550, 236

Given numbers are 138, 394, 550, 236
The greatest common divisor of numbers 138, 394, 550, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 394, 550, 236 is 2.

FAQs on GCD of 138, 394, 550, 236 Calculator

1. What is the GCD of 138, 394, 550, 236?

GCD of given numbers 138, 394, 550, 236 is 2


2. How to calculate the greatest common divisor of 138, 394, 550, 236?

We can find the highest common divisor of 138, 394, 550, 236 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, 394, 550, 236 i.e 2.


3. How can I use the GCD of 138, 394, 550, 236Calculator?

Out the numbers 138, 394, 550, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.