GCD of 138, 604, 610 Calculator

Given Input numbers are 138, 604, 610

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 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (138, 604, 610) = 2.

Given numbers are 138, 604, 610

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 604 are 2 x 2 x 151

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 138, 604, 610 is 2.

Given numbers are 138, 604, 610

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

Apply this formula for all numbers.

Step1:

LCM(138, 604) = 41676

GCD(138, 604) = ( 138 x 604 ) / 41676

= 138 / 604

= 138

Step2:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

So, Greatest Common Divisor of 138, 604, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 418, 628
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Given numbers are 138, 604, 610
The greatest common divisor of numbers 138, 604, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 604, 610 is 2.

1. What is the GCD of 138, 604, 610?

GCD of given numbers 138, 604, 610 is 2

2. How to calculate the greatest common divisor of 138, 604, 610?

We can find the highest common divisor of 138, 604, 610 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, 604, 610 i.e 2.

3. How can I use the GCD of 138, 604, 610Calculator?

Out the numbers 138, 604, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.