GCD of 138, 578, 308, 830 Calculator

Given Input numbers are 138, 578, 308, 830

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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (138, 578, 308, 830) = 2.

Given numbers are 138, 578, 308, 830

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 578 are 2 x 17 x 17

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 138, 578, 308, 830 is 2.

Given numbers are 138, 578, 308, 830

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

Apply this formula for all numbers.

Step1:

LCM(138, 578) = 39882

GCD(138, 578) = ( 138 x 578 ) / 39882

= 138 / 578

= 138

Step2:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 138, 578, 308, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 265, 537, 685
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Given numbers are 138, 578, 308, 830
The greatest common divisor of numbers 138, 578, 308, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 578, 308, 830 is 2.

1. What is the GCD of 138, 578, 308, 830?

GCD of given numbers 138, 578, 308, 830 is 2

2. How to calculate the greatest common divisor of 138, 578, 308, 830?

We can find the highest common divisor of 138, 578, 308, 830 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, 578, 308, 830 i.e 2.

3. How can I use the GCD of 138, 578, 308, 830Calculator?

Out the numbers 138, 578, 308, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.